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Finding the Fourth Proportional to 8,387.12, 11,571 and 5,402.72

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Solution

The fourth proportional to 8,387.12, 11,571 and 5,402.72 is: 7,453.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,387.12 : 11,571 = 5,402.72 : x
  2. Step 2: Convert to fraction form
    8,387.12/11,571 = 5,402.72/x
  3. Step 3: Cross multiply
    8,387.12x = 11,571 × 5,402.72
  4. Step 4: Simplify right side
    8,387.12x = 62,514,873.12
  5. Step 5: Solve for x
    x = 62,514,873.12/8,387.12
  6. Step 6: Final answer
    x = 7,453.68

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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.