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Finding the Fourth Proportional to 8,420.34, 11,632.74 and 7,174.34

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Solution

The fourth proportional to 8,420.34, 11,632.74 and 7,174.34 is: 9,911.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.34 : 11,632.74 = 7,174.34 : x
  2. Step 2: Convert to fraction form
    8,420.34/11,632.74 = 7,174.34/x
  3. Step 3: Cross multiply
    8,420.34x = 11,632.74 × 7,174.34
  4. Step 4: Simplify right side
    8,420.34x = 83,457,231.89
  5. Step 5: Solve for x
    x = 83,457,231.89/8,420.34
  6. Step 6: Final answer
    x = 9,911.39

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Half scale
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Double scale
Find fourth proportional to 8,421.34, 11,634.12 and 7,175.34
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.