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Finding the Fourth Proportional to 11,494.42, 15,862.53 and 8,979.46

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Solution

The fourth proportional to 11,494.42, 15,862.53 and 8,979.46 is: 12,391.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.42 : 15,862.53 = 8,979.46 : x
  2. Step 2: Convert to fraction form
    11,494.42/15,862.53 = 8,979.46/x
  3. Step 3: Cross multiply
    11,494.42x = 15,862.53 × 8,979.46
  4. Step 4: Simplify right side
    11,494.42x = 142,436,953.63
  5. Step 5: Solve for x
    x = 142,436,953.63/11,494.42
  6. Step 6: Final answer
    x = 12,391.83

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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.