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Finding the Fourth Proportional to 31,682.30, 43,710.86 and 18,253.19

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Solution

The fourth proportional to 31,682.30, 43,710.86 and 18,253.19 is: 25,183.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,682.30 : 43,710.86 = 18,253.19 : x
  2. Step 2: Convert to fraction form
    31,682.30/43,710.86 = 18,253.19/x
  3. Step 3: Cross multiply
    31,682.30x = 43,710.86 × 18,253.19
  4. Step 4: Simplify right side
    31,682.30x = 797,862,787.55
  5. Step 5: Solve for x
    x = 797,862,787.55/31,682.30
  6. Step 6: Final answer
    x = 25,183.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.