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Finding the Fourth Proportional to 2,577.25, 3,865.88 and 845.88

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Solution

The fourth proportional to 2,577.25, 3,865.88 and 845.88 is: 1,268.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.25 : 3,865.88 = 845.88 : x
  2. Step 2: Convert to fraction form
    2,577.25/3,865.88 = 845.88/x
  3. Step 3: Cross multiply
    2,577.25x = 3,865.88 × 845.88
  4. Step 4: Simplify right side
    2,577.25x = 3,270,070.57
  5. Step 5: Solve for x
    x = 3,270,070.57/2,577.25
  6. Step 6: Final answer
    x = 1,268.82

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Double scale
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Similar ratio
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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.