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Finding the Fourth Proportional to 10,246.78, 15,375.84 and 9,503.20

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Solution

The fourth proportional to 10,246.78, 15,375.84 and 9,503.20 is: 14,260.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,246.78 : 15,375.84 = 9,503.20 : x
  2. Step 2: Convert to fraction form
    10,246.78/15,375.84 = 9,503.20/x
  3. Step 3: Cross multiply
    10,246.78x = 15,375.84 × 9,503.20
  4. Step 4: Simplify right side
    10,246.78x = 146,119,682.69
  5. Step 5: Solve for x
    x = 146,119,682.69/10,246.78
  6. Step 6: Final answer
    x = 14,260.06

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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.