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Finding the Fourth Proportional to 7,517.38, 10,374 and 4,160.34

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Solution

The fourth proportional to 7,517.38, 10,374 and 4,160.34 is: 5,741.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,517.38 : 10,374 = 4,160.34 : x
  2. Step 2: Convert to fraction form
    7,517.38/10,374 = 4,160.34/x
  3. Step 3: Cross multiply
    7,517.38x = 10,374 × 4,160.34
  4. Step 4: Simplify right side
    7,517.38x = 43,159,367.16
  5. Step 5: Solve for x
    x = 43,159,367.16/7,517.38
  6. Step 6: Final answer
    x = 5,741.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.