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Finding the Fourth Proportional to 9,142.52, 13,686 and 5,857.94

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Solution

The fourth proportional to 9,142.52, 13,686 and 5,857.94 is: 8,769.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.52 : 13,686 = 5,857.94 : x
  2. Step 2: Convert to fraction form
    9,142.52/13,686 = 5,857.94/x
  3. Step 3: Cross multiply
    9,142.52x = 13,686 × 5,857.94
  4. Step 4: Simplify right side
    9,142.52x = 80,171,766.84
  5. Step 5: Solve for x
    x = 80,171,766.84/9,142.52
  6. Step 6: Final answer
    x = 8,769.11

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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.