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Finding the Fourth Proportional to 2,755.26, 4,132.71 and 807.30

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Solution

The fourth proportional to 2,755.26, 4,132.71 and 807.30 is: 1,210.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.26 : 4,132.71 = 807.30 : x
  2. Step 2: Convert to fraction form
    2,755.26/4,132.71 = 807.30/x
  3. Step 3: Cross multiply
    2,755.26x = 4,132.71 × 807.30
  4. Step 4: Simplify right side
    2,755.26x = 3,336,336.78
  5. Step 5: Solve for x
    x = 3,336,336.78/2,755.26
  6. Step 6: Final answer
    x = 1,210.90

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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.