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Finding the Fourth Proportional to 8,532.88, 12,805.12 and 5,235.91

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Solution

The fourth proportional to 8,532.88, 12,805.12 and 5,235.91 is: 7,857.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.88 : 12,805.12 = 5,235.91 : x
  2. Step 2: Convert to fraction form
    8,532.88/12,805.12 = 5,235.91/x
  3. Step 3: Cross multiply
    8,532.88x = 12,805.12 × 5,235.91
  4. Step 4: Simplify right side
    8,532.88x = 67,046,430.39
  5. Step 5: Solve for x
    x = 67,046,430.39/8,532.88
  6. Step 6: Final answer
    x = 7,857.42

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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.