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Finding the Fourth Proportional to 2,077.52, 3,115.90 and 844.60

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Solution

The fourth proportional to 2,077.52, 3,115.90 and 844.60 is: 1,266.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.52 : 3,115.90 = 844.60 : x
  2. Step 2: Convert to fraction form
    2,077.52/3,115.90 = 844.60/x
  3. Step 3: Cross multiply
    2,077.52x = 3,115.90 × 844.60
  4. Step 4: Simplify right side
    2,077.52x = 2,631,689.14
  5. Step 5: Solve for x
    x = 2,631,689.14/2,077.52
  6. Step 6: Final answer
    x = 1,266.75

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1.5x scale

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.