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Finding the Fourth Proportional to 5,653.13, 8,489.41 and 5,137.97

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Solution

The fourth proportional to 5,653.13, 8,489.41 and 5,137.97 is: 7,715.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.13 : 8,489.41 = 5,137.97 : x
  2. Step 2: Convert to fraction form
    5,653.13/8,489.41 = 5,137.97/x
  3. Step 3: Cross multiply
    5,653.13x = 8,489.41 × 5,137.97
  4. Step 4: Simplify right side
    5,653.13x = 43,618,278.61
  5. Step 5: Solve for x
    x = 43,618,278.61/5,653.13
  6. Step 6: Final answer
    x = 7,715.78

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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.