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Finding the Fourth Proportional to 10,458.50, 15,687.78 and 7,352.40

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Solution

The fourth proportional to 10,458.50, 15,687.78 and 7,352.40 is: 11,028.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.50 : 15,687.78 = 7,352.40 : x
  2. Step 2: Convert to fraction form
    10,458.50/15,687.78 = 7,352.40/x
  3. Step 3: Cross multiply
    10,458.50x = 15,687.78 × 7,352.40
  4. Step 4: Simplify right side
    10,458.50x = 115,342,906.29
  5. Step 5: Solve for x
    x = 115,342,906.29/10,458.50
  6. Step 6: Final answer
    x = 11,028.63

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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.