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Finding the Fourth Proportional to 2,165.52, 3,247.94 and 778.64

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Solution

The fourth proportional to 2,165.52, 3,247.94 and 778.64 is: 1,167.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.52 : 3,247.94 = 778.64 : x
  2. Step 2: Convert to fraction form
    2,165.52/3,247.94 = 778.64/x
  3. Step 3: Cross multiply
    2,165.52x = 3,247.94 × 778.64
  4. Step 4: Simplify right side
    2,165.52x = 2,528,976.00
  5. Step 5: Solve for x
    x = 2,528,976.00/2,165.52
  6. Step 6: Final answer
    x = 1,167.84

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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.