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Finding the Fourth Proportional to 10,494.74, 15,736.11 and 4,257.78

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Solution

The fourth proportional to 10,494.74, 15,736.11 and 4,257.78 is: 6,384.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.74 : 15,736.11 = 4,257.78 : x
  2. Step 2: Convert to fraction form
    10,494.74/15,736.11 = 4,257.78/x
  3. Step 3: Cross multiply
    10,494.74x = 15,736.11 × 4,257.78
  4. Step 4: Simplify right side
    10,494.74x = 67,000,894.44
  5. Step 5: Solve for x
    x = 67,000,894.44/10,494.74
  6. Step 6: Final answer
    x = 6,384.24

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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.