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Finding the Fourth Proportional to 19,882, 27,442.92 and 13,258

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Solution

The fourth proportional to 19,882, 27,442.92 and 13,258 is: 18,299.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882 : 27,442.92 = 13,258 : x
  2. Step 2: Convert to fraction form
    19,882/27,442.92 = 13,258/x
  3. Step 3: Cross multiply
    19,882x = 27,442.92 × 13,258
  4. Step 4: Simplify right side
    19,882x = 363,838,233.36
  5. Step 5: Solve for x
    x = 363,838,233.36/19,882
  6. Step 6: Final answer
    x = 18,299.88

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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.