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Finding the Fourth Proportional to 10,482.88, 15,724.88 and 2,691.76

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Solution

The fourth proportional to 10,482.88, 15,724.88 and 2,691.76 is: 4,037.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.88 : 15,724.88 = 2,691.76 : x
  2. Step 2: Convert to fraction form
    10,482.88/15,724.88 = 2,691.76/x
  3. Step 3: Cross multiply
    10,482.88x = 15,724.88 × 2,691.76
  4. Step 4: Simplify right side
    10,482.88x = 42,327,602.99
  5. Step 5: Solve for x
    x = 42,327,602.99/10,482.88
  6. Step 6: Final answer
    x = 4,037.78

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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.