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Finding the Fourth Proportional to 10,275.84, 15,398.88 and 5,591.88

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Solution

The fourth proportional to 10,275.84, 15,398.88 and 5,591.88 is: 8,379.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.84 : 15,398.88 = 5,591.88 : x
  2. Step 2: Convert to fraction form
    10,275.84/15,398.88 = 5,591.88/x
  3. Step 3: Cross multiply
    10,275.84x = 15,398.88 × 5,591.88
  4. Step 4: Simplify right side
    10,275.84x = 86,108,689.09
  5. Step 5: Solve for x
    x = 86,108,689.09/10,275.84
  6. Step 6: Final answer
    x = 8,379.72

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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.