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Finding the Fourth Proportional to 31,471.46, 47,188.83 and 12,760.46

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Solution

The fourth proportional to 31,471.46, 47,188.83 and 12,760.46 is: 19,133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,471.46 : 47,188.83 = 12,760.46 : x
  2. Step 2: Convert to fraction form
    31,471.46/47,188.83 = 12,760.46/x
  3. Step 3: Cross multiply
    31,471.46x = 47,188.83 × 12,760.46
  4. Step 4: Simplify right side
    31,471.46x = 602,151,177.66
  5. Step 5: Solve for x
    x = 602,151,177.66/31,471.46
  6. Step 6: Final answer
    x = 19,133.25

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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.