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Finding the Fourth Proportional to 12,332.34, 18,493.65 and 7,141.86

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Solution

The fourth proportional to 12,332.34, 18,493.65 and 7,141.86 is: 10,709.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,332.34 : 18,493.65 = 7,141.86 : x
  2. Step 2: Convert to fraction form
    12,332.34/18,493.65 = 7,141.86/x
  3. Step 3: Cross multiply
    12,332.34x = 18,493.65 × 7,141.86
  4. Step 4: Simplify right side
    12,332.34x = 132,079,059.19
  5. Step 5: Solve for x
    x = 132,079,059.19/12,332.34
  6. Step 6: Final answer
    x = 10,709.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.