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Finding the Fourth Proportional to 13,658.28, 18,847.71 and 7,689.75

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Solution

The fourth proportional to 13,658.28, 18,847.71 and 7,689.75 is: 10,611.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.28 : 18,847.71 = 7,689.75 : x
  2. Step 2: Convert to fraction form
    13,658.28/18,847.71 = 7,689.75/x
  3. Step 3: Cross multiply
    13,658.28x = 18,847.71 × 7,689.75
  4. Step 4: Simplify right side
    13,658.28x = 144,934,177.97
  5. Step 5: Solve for x
    x = 144,934,177.97/13,658.28
  6. Step 6: Final answer
    x = 10,611.45

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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.