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Finding the Fourth Proportional to 2,023, 2,791.87 and 1,226.87

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Solution

The fourth proportional to 2,023, 2,791.87 and 1,226.87 is: 1,693.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023 : 2,791.87 = 1,226.87 : x
  2. Step 2: Convert to fraction form
    2,023/2,791.87 = 1,226.87/x
  3. Step 3: Cross multiply
    2,023x = 2,791.87 × 1,226.87
  4. Step 4: Simplify right side
    2,023x = 3,425,261.55
  5. Step 5: Solve for x
    x = 3,425,261.55/2,023
  6. Step 6: Final answer
    x = 1,693.16

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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.