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Finding the Fourth Proportional to 10,343.50, 15,512.52 and 4,498.78

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Solution

The fourth proportional to 10,343.50, 15,512.52 and 4,498.78 is: 6,746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.50 : 15,512.52 = 4,498.78 : x
  2. Step 2: Convert to fraction form
    10,343.50/15,512.52 = 4,498.78/x
  3. Step 3: Cross multiply
    10,343.50x = 15,512.52 × 4,498.78
  4. Step 4: Simplify right side
    10,343.50x = 69,787,414.73
  5. Step 5: Solve for x
    x = 69,787,414.73/10,343.50
  6. Step 6: Final answer
    x = 6,746.98

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