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Finding the Fourth Proportional to 10,654.88, 15,983.24 and 2,863.76

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Solution

The fourth proportional to 10,654.88, 15,983.24 and 2,863.76 is: 4,295.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.88 : 15,983.24 = 2,863.76 : x
  2. Step 2: Convert to fraction form
    10,654.88/15,983.24 = 2,863.76/x
  3. Step 3: Cross multiply
    10,654.88x = 15,983.24 × 2,863.76
  4. Step 4: Simplify right side
    10,654.88x = 45,772,163.38
  5. Step 5: Solve for x
    x = 45,772,163.38/10,654.88
  6. Step 6: Final answer
    x = 4,295.89

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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.