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Finding the Fourth Proportional to 17,865.72, 24,665.88 and 11,503.38

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Solution

The fourth proportional to 17,865.72, 24,665.88 and 11,503.38 is: 15,881.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,865.72 : 24,665.88 = 11,503.38 : x
  2. Step 2: Convert to fraction form
    17,865.72/24,665.88 = 11,503.38/x
  3. Step 3: Cross multiply
    17,865.72x = 24,665.88 × 11,503.38
  4. Step 4: Simplify right side
    17,865.72x = 283,740,990.67
  5. Step 5: Solve for x
    x = 283,740,990.67/17,865.72
  6. Step 6: Final answer
    x = 15,881.87

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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.