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Finding the Fourth Proportional to 31,338, 47,010.24 and 12,624.48

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Solution

The fourth proportional to 31,338, 47,010.24 and 12,624.48 is: 18,938.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,338 : 47,010.24 = 12,624.48 : x
  2. Step 2: Convert to fraction form
    31,338/47,010.24 = 12,624.48/x
  3. Step 3: Cross multiply
    31,338x = 47,010.24 × 12,624.48
  4. Step 4: Simplify right side
    31,338x = 593,479,834.68
  5. Step 5: Solve for x
    x = 593,479,834.68/31,338
  6. Step 6: Final answer
    x = 18,938.03

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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.