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Finding the Fourth Proportional to 1,314.54, 1,961.24 and 1,252.62

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Solution

The fourth proportional to 1,314.54, 1,961.24 and 1,252.62 is: 1,868.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.54 : 1,961.24 = 1,252.62 : x
  2. Step 2: Convert to fraction form
    1,314.54/1,961.24 = 1,252.62/x
  3. Step 3: Cross multiply
    1,314.54x = 1,961.24 × 1,252.62
  4. Step 4: Simplify right side
    1,314.54x = 2,456,682.19
  5. Step 5: Solve for x
    x = 2,456,682.19/1,314.54
  6. Step 6: Final answer
    x = 1,868.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.