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Finding the Fourth Proportional to 1,902.27, 2,625.20 and 1,062.95

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Solution

The fourth proportional to 1,902.27, 2,625.20 and 1,062.95 is: 1,466.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.27 : 2,625.20 = 1,062.95 : x
  2. Step 2: Convert to fraction form
    1,902.27/2,625.20 = 1,062.95/x
  3. Step 3: Cross multiply
    1,902.27x = 2,625.20 × 1,062.95
  4. Step 4: Simplify right side
    1,902.27x = 2,790,437.90
  5. Step 5: Solve for x
    x = 2,790,437.90/1,902.27
  6. Step 6: Final answer
    x = 1,466.90

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