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Finding the Fourth Proportional to 41,142.87, 61,714.29 and 9,978.12

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Solution

The fourth proportional to 41,142.87, 61,714.29 and 9,978.12 is: 14,967.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,142.87 : 61,714.29 = 9,978.12 : x
  2. Step 2: Convert to fraction form
    41,142.87/61,714.29 = 9,978.12/x
  3. Step 3: Cross multiply
    41,142.87x = 61,714.29 × 9,978.12
  4. Step 4: Simplify right side
    41,142.87x = 615,792,591.33
  5. Step 5: Solve for x
    x = 615,792,591.33/41,142.87
  6. Step 6: Final answer
    x = 14,967.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.