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Finding the Fourth Proportional to 2,577, 3,865.50 and 845.63

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Solution

The fourth proportional to 2,577, 3,865.50 and 845.63 is: 1,268.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577 : 3,865.50 = 845.63 : x
  2. Step 2: Convert to fraction form
    2,577/3,865.50 = 845.63/x
  3. Step 3: Cross multiply
    2,577x = 3,865.50 × 845.63
  4. Step 4: Simplify right side
    2,577x = 3,268,763.44
  5. Step 5: Solve for x
    x = 3,268,763.44/2,577
  6. Step 6: Final answer
    x = 1,268.44

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Half scale
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Double scale
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Similar ratio
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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.