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Finding the Fourth Proportional to 31,228.68, 43,108.02 and 18,651

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Solution

The fourth proportional to 31,228.68, 43,108.02 and 18,651 is: 25,745.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,228.68 : 43,108.02 = 18,651 : x
  2. Step 2: Convert to fraction form
    31,228.68/43,108.02 = 18,651/x
  3. Step 3: Cross multiply
    31,228.68x = 43,108.02 × 18,651
  4. Step 4: Simplify right side
    31,228.68x = 804,007,681.02
  5. Step 5: Solve for x
    x = 804,007,681.02/31,228.68
  6. Step 6: Final answer
    x = 25,745.81

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Why These Related Problems?

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