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Finding the Fourth Proportional to 9,342, 12,892.05 and 5,150.34

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Solution

The fourth proportional to 9,342, 12,892.05 and 5,150.34 is: 7,107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342 : 12,892.05 = 5,150.34 : x
  2. Step 2: Convert to fraction form
    9,342/12,892.05 = 5,150.34/x
  3. Step 3: Cross multiply
    9,342x = 12,892.05 × 5,150.34
  4. Step 4: Simplify right side
    9,342x = 66,398,440.80
  5. Step 5: Solve for x
    x = 66,398,440.80/9,342
  6. Step 6: Final answer
    x = 7,107.52

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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.