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Finding the Fourth Proportional to 8,334.76, 12,503.90 and 3,140.52

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Solution

The fourth proportional to 8,334.76, 12,503.90 and 3,140.52 is: 4,711.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,334.76 : 12,503.90 = 3,140.52 : x
  2. Step 2: Convert to fraction form
    8,334.76/12,503.90 = 3,140.52/x
  3. Step 3: Cross multiply
    8,334.76x = 12,503.90 × 3,140.52
  4. Step 4: Simplify right side
    8,334.76x = 39,268,748.03
  5. Step 5: Solve for x
    x = 39,268,748.03/8,334.76
  6. Step 6: Final answer
    x = 4,711.44

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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.