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Finding the Fourth Proportional to 10,519.76, 15,780.12 and 3,943.76

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Solution

The fourth proportional to 10,519.76, 15,780.12 and 3,943.76 is: 5,915.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.76 : 15,780.12 = 3,943.76 : x
  2. Step 2: Convert to fraction form
    10,519.76/15,780.12 = 3,943.76/x
  3. Step 3: Cross multiply
    10,519.76x = 15,780.12 × 3,943.76
  4. Step 4: Simplify right side
    10,519.76x = 62,233,006.05
  5. Step 5: Solve for x
    x = 62,233,006.05/10,519.76
  6. Step 6: Final answer
    x = 5,915.82

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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.