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Finding the Fourth Proportional to 31,672.85, 47,510.81 and 8,299.31

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Solution

The fourth proportional to 31,672.85, 47,510.81 and 8,299.31 is: 12,449.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,672.85 : 47,510.81 = 8,299.31 : x
  2. Step 2: Convert to fraction form
    31,672.85/47,510.81 = 8,299.31/x
  3. Step 3: Cross multiply
    31,672.85x = 47,510.81 × 8,299.31
  4. Step 4: Simplify right side
    31,672.85x = 394,306,899.04
  5. Step 5: Solve for x
    x = 394,306,899.04/31,672.85
  6. Step 6: Final answer
    x = 12,449.37

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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.