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Finding the Fourth Proportional to 31,813.59, 47,700.77 and 10,751.64

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Solution

The fourth proportional to 31,813.59, 47,700.77 and 10,751.64 is: 16,120.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,813.59 : 47,700.77 = 10,751.64 : x
  2. Step 2: Convert to fraction form
    31,813.59/47,700.77 = 10,751.64/x
  3. Step 3: Cross multiply
    31,813.59x = 47,700.77 × 10,751.64
  4. Step 4: Simplify right side
    31,813.59x = 512,861,506.76
  5. Step 5: Solve for x
    x = 512,861,506.76/31,813.59
  6. Step 6: Final answer
    x = 16,120.83

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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.