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Finding the Fourth Proportional to 8,542.32, 12,752.41 and 7,933.20

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Solution

The fourth proportional to 8,542.32, 12,752.41 and 7,933.20 is: 11,843.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.32 : 12,752.41 = 7,933.20 : x
  2. Step 2: Convert to fraction form
    8,542.32/12,752.41 = 7,933.20/x
  3. Step 3: Cross multiply
    8,542.32x = 12,752.41 × 7,933.20
  4. Step 4: Simplify right side
    8,542.32x = 101,167,419.01
  5. Step 5: Solve for x
    x = 101,167,419.01/8,542.32
  6. Step 6: Final answer
    x = 11,843.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.