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Finding the Fourth Proportional to 31,806.60, 47,709.90 and 8,114.10

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Solution

The fourth proportional to 31,806.60, 47,709.90 and 8,114.10 is: 12,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,806.60 : 47,709.90 = 8,114.10 : x
  2. Step 2: Convert to fraction form
    31,806.60/47,709.90 = 8,114.10/x
  3. Step 3: Cross multiply
    31,806.60x = 47,709.90 × 8,114.10
  4. Step 4: Simplify right side
    31,806.60x = 387,122,899.59
  5. Step 5: Solve for x
    x = 387,122,899.59/31,806.60
  6. Step 6: Final answer
    x = 12,171.15

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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.