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Finding the Fourth Proportional to 10,614, 15,927.84 and 4,458

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Solution

The fourth proportional to 10,614, 15,927.84 and 4,458 is: 6,689.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614 : 15,927.84 = 4,458 : x
  2. Step 2: Convert to fraction form
    10,614/15,927.84 = 4,458/x
  3. Step 3: Cross multiply
    10,614x = 15,927.84 × 4,458
  4. Step 4: Simplify right side
    10,614x = 71,006,310.72
  5. Step 5: Solve for x
    x = 71,006,310.72/10,614
  6. Step 6: Final answer
    x = 6,689.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.