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Finding the Fourth Proportional to 10,608.75, 15,916.64 and 5,677.29

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Solution

The fourth proportional to 10,608.75, 15,916.64 and 5,677.29 is: 8,517.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,608.75 : 15,916.64 = 5,677.29 : x
  2. Step 2: Convert to fraction form
    10,608.75/15,916.64 = 5,677.29/x
  3. Step 3: Cross multiply
    10,608.75x = 15,916.64 × 5,677.29
  4. Step 4: Simplify right side
    10,608.75x = 90,363,352.72
  5. Step 5: Solve for x
    x = 90,363,352.72/10,608.75
  6. Step 6: Final answer
    x = 8,517.81

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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.