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Finding the Fourth Proportional to 2,287.64, 3,427.14 and 1,129.88

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Solution

The fourth proportional to 2,287.64, 3,427.14 and 1,129.88 is: 1,692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.64 : 3,427.14 = 1,129.88 : x
  2. Step 2: Convert to fraction form
    2,287.64/3,427.14 = 1,129.88/x
  3. Step 3: Cross multiply
    2,287.64x = 3,427.14 × 1,129.88
  4. Step 4: Simplify right side
    2,287.64x = 3,872,256.94
  5. Step 5: Solve for x
    x = 3,872,256.94/2,287.64
  6. Step 6: Final answer
    x = 1,692.69

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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.