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Finding the Fourth Proportional to 2,715.92, 4,069.39 and 2,488.95

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Solution

The fourth proportional to 2,715.92, 4,069.39 and 2,488.95 is: 3,729.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.92 : 4,069.39 = 2,488.95 : x
  2. Step 2: Convert to fraction form
    2,715.92/4,069.39 = 2,488.95/x
  3. Step 3: Cross multiply
    2,715.92x = 4,069.39 × 2,488.95
  4. Step 4: Simplify right side
    2,715.92x = 10,128,508.24
  5. Step 5: Solve for x
    x = 10,128,508.24/2,715.92
  6. Step 6: Final answer
    x = 3,729.31

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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.