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Finding the Fourth Proportional to 2,165.38, 3,247.71 and 778.44

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Solution

The fourth proportional to 2,165.38, 3,247.71 and 778.44 is: 1,167.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.38 : 3,247.71 = 778.44 : x
  2. Step 2: Convert to fraction form
    2,165.38/3,247.71 = 778.44/x
  3. Step 3: Cross multiply
    2,165.38x = 3,247.71 × 778.44
  4. Step 4: Simplify right side
    2,165.38x = 2,528,131.13
  5. Step 5: Solve for x
    x = 2,528,131.13/2,165.38
  6. Step 6: Final answer
    x = 1,167.52

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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.