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Finding the Fourth Proportional to 2,027, 2,797.28 and 1,142.76

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Solution

The fourth proportional to 2,027, 2,797.28 and 1,142.76 is: 1,577.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027 : 2,797.28 = 1,142.76 : x
  2. Step 2: Convert to fraction form
    2,027/2,797.28 = 1,142.76/x
  3. Step 3: Cross multiply
    2,027x = 2,797.28 × 1,142.76
  4. Step 4: Simplify right side
    2,027x = 3,196,619.69
  5. Step 5: Solve for x
    x = 3,196,619.69/2,027
  6. Step 6: Final answer
    x = 1,577.02

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.