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Finding the Fourth Proportional to 31,287.74, 46,951.05 and 12,819.74

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Solution

The fourth proportional to 31,287.74, 46,951.05 and 12,819.74 is: 19,237.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,287.74 : 46,951.05 = 12,819.74 : x
  2. Step 2: Convert to fraction form
    31,287.74/46,951.05 = 12,819.74/x
  3. Step 3: Cross multiply
    31,287.74x = 46,951.05 × 12,819.74
  4. Step 4: Simplify right side
    31,287.74x = 601,900,253.73
  5. Step 5: Solve for x
    x = 601,900,253.73/31,287.74
  6. Step 6: Final answer
    x = 19,237.58

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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.