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Finding the Fourth Proportional to 8,146.47, 11,242.12 and 4,420.47

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Solution

The fourth proportional to 8,146.47, 11,242.12 and 4,420.47 is: 6,100.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.47 : 11,242.12 = 4,420.47 : x
  2. Step 2: Convert to fraction form
    8,146.47/11,242.12 = 4,420.47/x
  3. Step 3: Cross multiply
    8,146.47x = 11,242.12 × 4,420.47
  4. Step 4: Simplify right side
    8,146.47x = 49,695,454.20
  5. Step 5: Solve for x
    x = 49,695,454.20/8,146.47
  6. Step 6: Final answer
    x = 6,100.24

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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.