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Finding the Fourth Proportional to 27,759, 38,325.92 and 16,432.12

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Solution

The fourth proportional to 27,759, 38,325.92 and 16,432.12 is: 22,687.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,759 : 38,325.92 = 16,432.12 : x
  2. Step 2: Convert to fraction form
    27,759/38,325.92 = 16,432.12/x
  3. Step 3: Cross multiply
    27,759x = 38,325.92 × 16,432.12
  4. Step 4: Simplify right side
    27,759x = 629,776,116.55
  5. Step 5: Solve for x
    x = 629,776,116.55/27,759
  6. Step 6: Final answer
    x = 22,687.28

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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.