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Finding the Fourth Proportional to 1,854.29, 2,781.44 and 621.37

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Solution

The fourth proportional to 1,854.29, 2,781.44 and 621.37 is: 932.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.29 : 2,781.44 = 621.37 : x
  2. Step 2: Convert to fraction form
    1,854.29/2,781.44 = 621.37/x
  3. Step 3: Cross multiply
    1,854.29x = 2,781.44 × 621.37
  4. Step 4: Simplify right side
    1,854.29x = 1,728,306.07
  5. Step 5: Solve for x
    x = 1,728,306.07/1,854.29
  6. Step 6: Final answer
    x = 932.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.