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Finding the Fourth Proportional to 11,151, 15,387.96 and 6,115.10

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Solution

The fourth proportional to 11,151, 15,387.96 and 6,115.10 is: 8,438.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,151 : 15,387.96 = 6,115.10 : x
  2. Step 2: Convert to fraction form
    11,151/15,387.96 = 6,115.10/x
  3. Step 3: Cross multiply
    11,151x = 15,387.96 × 6,115.10
  4. Step 4: Simplify right side
    11,151x = 94,098,914.20
  5. Step 5: Solve for x
    x = 94,098,914.20/11,151
  6. Step 6: Final answer
    x = 8,438.61

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1.5x scale

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.