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Finding the Fourth Proportional to 31,472.15, 47,163.72 and 17,438.59

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Solution

The fourth proportional to 31,472.15, 47,163.72 and 17,438.59 is: 26,133.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,472.15 : 47,163.72 = 17,438.59 : x
  2. Step 2: Convert to fraction form
    31,472.15/47,163.72 = 17,438.59/x
  3. Step 3: Cross multiply
    31,472.15x = 47,163.72 × 17,438.59
  4. Step 4: Simplify right side
    31,472.15x = 822,468,802.21
  5. Step 5: Solve for x
    x = 822,468,802.21/31,472.15
  6. Step 6: Final answer
    x = 26,133.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.