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Finding the Fourth Proportional to 8,333.52, 12,503.64 and 3,140.88

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Solution

The fourth proportional to 8,333.52, 12,503.64 and 3,140.88 is: 4,712.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,333.52 : 12,503.64 = 3,140.88 : x
  2. Step 2: Convert to fraction form
    8,333.52/12,503.64 = 3,140.88/x
  3. Step 3: Cross multiply
    8,333.52x = 12,503.64 × 3,140.88
  4. Step 4: Simplify right side
    8,333.52x = 39,272,432.80
  5. Step 5: Solve for x
    x = 39,272,432.80/8,333.52
  6. Step 6: Final answer
    x = 4,712.59

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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.