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Finding the Fourth Proportional to 8,565.84, 12,834.72 and 5,481.36

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Solution

The fourth proportional to 8,565.84, 12,834.72 and 5,481.36 is: 8,213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.84 : 12,834.72 = 5,481.36 : x
  2. Step 2: Convert to fraction form
    8,565.84/12,834.72 = 5,481.36/x
  3. Step 3: Cross multiply
    8,565.84x = 12,834.72 × 5,481.36
  4. Step 4: Simplify right side
    8,565.84x = 70,351,720.82
  5. Step 5: Solve for x
    x = 70,351,720.82/8,565.84
  6. Step 6: Final answer
    x = 8,213.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.