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Finding the Fourth Proportional to 8,421.73, 11,615.16 and 7,411.27

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Solution

The fourth proportional to 8,421.73, 11,615.16 and 7,411.27 is: 10,221.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421.73 : 11,615.16 = 7,411.27 : x
  2. Step 2: Convert to fraction form
    8,421.73/11,615.16 = 7,411.27/x
  3. Step 3: Cross multiply
    8,421.73x = 11,615.16 × 7,411.27
  4. Step 4: Simplify right side
    8,421.73x = 86,083,086.85
  5. Step 5: Solve for x
    x = 86,083,086.85/8,421.73
  6. Step 6: Final answer
    x = 10,221.54

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Half scale
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Double scale
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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.