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Finding the Fourth Proportional to 31,863.60, 47,795.40 and 9,675.90

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Solution

The fourth proportional to 31,863.60, 47,795.40 and 9,675.90 is: 14,513.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,863.60 : 47,795.40 = 9,675.90 : x
  2. Step 2: Convert to fraction form
    31,863.60/47,795.40 = 9,675.90/x
  3. Step 3: Cross multiply
    31,863.60x = 47,795.40 × 9,675.90
  4. Step 4: Simplify right side
    31,863.60x = 462,463,510.86
  5. Step 5: Solve for x
    x = 462,463,510.86/31,863.60
  6. Step 6: Final answer
    x = 14,513.85

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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.