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Finding the Fourth Proportional to 2,027.12, 2,797.47 and 1,143

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Solution

The fourth proportional to 2,027.12, 2,797.47 and 1,143 is: 1,577.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.12 : 2,797.47 = 1,143 : x
  2. Step 2: Convert to fraction form
    2,027.12/2,797.47 = 1,143/x
  3. Step 3: Cross multiply
    2,027.12x = 2,797.47 × 1,143
  4. Step 4: Simplify right side
    2,027.12x = 3,197,508.21
  5. Step 5: Solve for x
    x = 3,197,508.21/2,027.12
  6. Step 6: Final answer
    x = 1,577.37

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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.