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Finding the Fourth Proportional to 1,626, 2,244.28 and 927.78

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Solution

The fourth proportional to 1,626, 2,244.28 and 927.78 is: 1,280.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626 : 2,244.28 = 927.78 : x
  2. Step 2: Convert to fraction form
    1,626/2,244.28 = 927.78/x
  3. Step 3: Cross multiply
    1,626x = 2,244.28 × 927.78
  4. Step 4: Simplify right side
    1,626x = 2,082,198.10
  5. Step 5: Solve for x
    x = 2,082,198.10/1,626
  6. Step 6: Final answer
    x = 1,280.56

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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.