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Finding the Fourth Proportional to 31,908.96, 47,870.37 and 12,193.14

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Solution

The fourth proportional to 31,908.96, 47,870.37 and 12,193.14 is: 18,292.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,908.96 : 47,870.37 = 12,193.14 : x
  2. Step 2: Convert to fraction form
    31,908.96/47,870.37 = 12,193.14/x
  3. Step 3: Cross multiply
    31,908.96x = 47,870.37 × 12,193.14
  4. Step 4: Simplify right side
    31,908.96x = 583,690,123.26
  5. Step 5: Solve for x
    x = 583,690,123.26/31,908.96
  6. Step 6: Final answer
    x = 18,292.36

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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.