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Finding the Fourth Proportional to 31,471.67, 47,217.51 and 9,285.17

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Solution

The fourth proportional to 31,471.67, 47,217.51 and 9,285.17 is: 13,930.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,471.67 : 47,217.51 = 9,285.17 : x
  2. Step 2: Convert to fraction form
    31,471.67/47,217.51 = 9,285.17/x
  3. Step 3: Cross multiply
    31,471.67x = 47,217.51 × 9,285.17
  4. Step 4: Simplify right side
    31,471.67x = 438,422,371.24
  5. Step 5: Solve for x
    x = 438,422,371.24/31,471.67
  6. Step 6: Final answer
    x = 13,930.70

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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.