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Finding the Fourth Proportional to 15,018, 20,724.84 and 8,394

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Solution

The fourth proportional to 15,018, 20,724.84 and 8,394 is: 11,583.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,018 : 20,724.84 = 8,394 : x
  2. Step 2: Convert to fraction form
    15,018/20,724.84 = 8,394/x
  3. Step 3: Cross multiply
    15,018x = 20,724.84 × 8,394
  4. Step 4: Simplify right side
    15,018x = 173,964,306.96
  5. Step 5: Solve for x
    x = 173,964,306.96/15,018
  6. Step 6: Final answer
    x = 11,583.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.