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Finding the Fourth Proportional to 9,334.36, 12,882 and 5,142.61

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Solution

The fourth proportional to 9,334.36, 12,882 and 5,142.61 is: 7,097.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.36 : 12,882 = 5,142.61 : x
  2. Step 2: Convert to fraction form
    9,334.36/12,882 = 5,142.61/x
  3. Step 3: Cross multiply
    9,334.36x = 12,882 × 5,142.61
  4. Step 4: Simplify right side
    9,334.36x = 66,247,102.02
  5. Step 5: Solve for x
    x = 66,247,102.02/9,334.36
  6. Step 6: Final answer
    x = 7,097.12

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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.