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Finding the Fourth Proportional to 11,351.08, 15,660.18 and 8,374

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Solution

The fourth proportional to 11,351.08, 15,660.18 and 8,374 is: 11,552.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,351.08 : 15,660.18 = 8,374 : x
  2. Step 2: Convert to fraction form
    11,351.08/15,660.18 = 8,374/x
  3. Step 3: Cross multiply
    11,351.08x = 15,660.18 × 8,374
  4. Step 4: Simplify right side
    11,351.08x = 131,138,347.32
  5. Step 5: Solve for x
    x = 131,138,347.32/11,351.08
  6. Step 6: Final answer
    x = 11,552.94

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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.