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Finding the Fourth Proportional to 8,187.76, 11,294.56 and 5,354.24

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Solution

The fourth proportional to 8,187.76, 11,294.56 and 5,354.24 is: 7,385.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.76 : 11,294.56 = 5,354.24 : x
  2. Step 2: Convert to fraction form
    8,187.76/11,294.56 = 5,354.24/x
  3. Step 3: Cross multiply
    8,187.76x = 11,294.56 × 5,354.24
  4. Step 4: Simplify right side
    8,187.76x = 60,473,784.93
  5. Step 5: Solve for x
    x = 60,473,784.93/8,187.76
  6. Step 6: Final answer
    x = 7,385.88

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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.