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Finding the Fourth Proportional to 12,160.64, 18,243.52 and 3,952

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Solution

The fourth proportional to 12,160.64, 18,243.52 and 3,952 is: 5,928.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,160.64 : 18,243.52 = 3,952 : x
  2. Step 2: Convert to fraction form
    12,160.64/18,243.52 = 3,952/x
  3. Step 3: Cross multiply
    12,160.64x = 18,243.52 × 3,952
  4. Step 4: Simplify right side
    12,160.64x = 72,098,391.04
  5. Step 5: Solve for x
    x = 72,098,391.04/12,160.64
  6. Step 6: Final answer
    x = 5,928.83

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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.