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Finding the Fourth Proportional to 15,165.20, 22,738.02 and 6,397.76

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Solution

The fourth proportional to 15,165.20, 22,738.02 and 6,397.76 is: 9,592.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,165.20 : 22,738.02 = 6,397.76 : x
  2. Step 2: Convert to fraction form
    15,165.20/22,738.02 = 6,397.76/x
  3. Step 3: Cross multiply
    15,165.20x = 22,738.02 × 6,397.76
  4. Step 4: Simplify right side
    15,165.20x = 145,472,394.84
  5. Step 5: Solve for x
    x = 145,472,394.84/15,165.20
  6. Step 6: Final answer
    x = 9,592.51

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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.