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Finding the Fourth Proportional to 41,142.65, 61,713.43 and 9,978.17

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Solution

The fourth proportional to 41,142.65, 61,713.43 and 9,978.17 is: 14,967.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,142.65 : 61,713.43 = 9,978.17 : x
  2. Step 2: Convert to fraction form
    41,142.65/61,713.43 = 9,978.17/x
  3. Step 3: Cross multiply
    41,142.65x = 61,713.43 × 9,978.17
  4. Step 4: Simplify right side
    41,142.65x = 615,786,762.31
  5. Step 5: Solve for x
    x = 615,786,762.31/41,142.65
  6. Step 6: Final answer
    x = 14,967.12

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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.