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Finding the Fourth Proportional to 11,575.76, 15,957.96 and 8,258

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Solution

The fourth proportional to 11,575.76, 15,957.96 and 8,258 is: 11,384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,575.76 : 15,957.96 = 8,258 : x
  2. Step 2: Convert to fraction form
    11,575.76/15,957.96 = 8,258/x
  3. Step 3: Cross multiply
    11,575.76x = 15,957.96 × 8,258
  4. Step 4: Simplify right side
    11,575.76x = 131,780,833.68
  5. Step 5: Solve for x
    x = 131,780,833.68/11,575.76
  6. Step 6: Final answer
    x = 11,384.21

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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.