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Finding the Fourth Proportional to 31,338.74, 47,012.49 and 9,153.74

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Solution

The fourth proportional to 31,338.74, 47,012.49 and 9,153.74 is: 13,731.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,338.74 : 47,012.49 = 9,153.74 : x
  2. Step 2: Convert to fraction form
    31,338.74/47,012.49 = 9,153.74/x
  3. Step 3: Cross multiply
    31,338.74x = 47,012.49 × 9,153.74
  4. Step 4: Simplify right side
    31,338.74x = 430,339,875.15
  5. Step 5: Solve for x
    x = 430,339,875.15/31,338.74
  6. Step 6: Final answer
    x = 13,731.88

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1.5x scale

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.