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Finding the Fourth Proportional to 31,209.60, 46,814.60 and 12,491.20

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Solution

The fourth proportional to 31,209.60, 46,814.60 and 12,491.20 is: 18,736.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,209.60 : 46,814.60 = 12,491.20 : x
  2. Step 2: Convert to fraction form
    31,209.60/46,814.60 = 12,491.20/x
  3. Step 3: Cross multiply
    31,209.60x = 46,814.60 × 12,491.20
  4. Step 4: Simplify right side
    31,209.60x = 584,770,531.52
  5. Step 5: Solve for x
    x = 584,770,531.52/31,209.60
  6. Step 6: Final answer
    x = 18,736.88

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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.