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Finding the Fourth Proportional to 9,157.69, 13,734.90 and 3,612.57

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Solution

The fourth proportional to 9,157.69, 13,734.90 and 3,612.57 is: 5,418.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.69 : 13,734.90 = 3,612.57 : x
  2. Step 2: Convert to fraction form
    9,157.69/13,734.90 = 3,612.57/x
  3. Step 3: Cross multiply
    9,157.69x = 13,734.90 × 3,612.57
  4. Step 4: Simplify right side
    9,157.69x = 49,618,236.19
  5. Step 5: Solve for x
    x = 49,618,236.19/9,157.69
  6. Step 6: Final answer
    x = 5,418.20

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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.