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Finding the Fourth Proportional to 31,810, 47,708.44 and 18,474.64

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Solution

The fourth proportional to 31,810, 47,708.44 and 18,474.64 is: 27,708.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,810 : 47,708.44 = 18,474.64 : x
  2. Step 2: Convert to fraction form
    31,810/47,708.44 = 18,474.64/x
  3. Step 3: Cross multiply
    31,810x = 47,708.44 × 18,474.64
  4. Step 4: Simplify right side
    31,810x = 881,396,253.96
  5. Step 5: Solve for x
    x = 881,396,253.96/31,810
  6. Step 6: Final answer
    x = 27,708.15

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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.