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Finding the Fourth Proportional to 1,310.95, 1,958.01 and 1,187.29

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Solution

The fourth proportional to 1,310.95, 1,958.01 and 1,187.29 is: 1,773.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.95 : 1,958.01 = 1,187.29 : x
  2. Step 2: Convert to fraction form
    1,310.95/1,958.01 = 1,187.29/x
  3. Step 3: Cross multiply
    1,310.95x = 1,958.01 × 1,187.29
  4. Step 4: Simplify right side
    1,310.95x = 2,324,727.03
  5. Step 5: Solve for x
    x = 2,324,727.03/1,310.95
  6. Step 6: Final answer
    x = 1,773.31

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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.