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Finding the Fourth Proportional to 27,287.28, 40,930.92 and 9,762.12

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Solution

The fourth proportional to 27,287.28, 40,930.92 and 9,762.12 is: 14,643.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,287.28 : 40,930.92 = 9,762.12 : x
  2. Step 2: Convert to fraction form
    27,287.28/40,930.92 = 9,762.12/x
  3. Step 3: Cross multiply
    27,287.28x = 40,930.92 × 9,762.12
  4. Step 4: Simplify right side
    27,287.28x = 399,572,552.75
  5. Step 5: Solve for x
    x = 399,572,552.75/27,287.28
  6. Step 6: Final answer
    x = 14,643.18

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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.