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Finding the Fourth Proportional to 31,542, 47,311.68 and 7,849.56

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Solution

The fourth proportional to 31,542, 47,311.68 and 7,849.56 is: 11,774.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,542 : 47,311.68 = 7,849.56 : x
  2. Step 2: Convert to fraction form
    31,542/47,311.68 = 7,849.56/x
  3. Step 3: Cross multiply
    31,542x = 47,311.68 × 7,849.56
  4. Step 4: Simplify right side
    31,542x = 371,375,870.86
  5. Step 5: Solve for x
    x = 371,375,870.86/31,542
  6. Step 6: Final answer
    x = 11,774.01

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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.