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Finding the Fourth Proportional to 1,317.69, 1,974.11 and 1,257.75

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Solution

The fourth proportional to 1,317.69, 1,974.11 and 1,257.75 is: 1,884.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.69 : 1,974.11 = 1,257.75 : x
  2. Step 2: Convert to fraction form
    1,317.69/1,974.11 = 1,257.75/x
  3. Step 3: Cross multiply
    1,317.69x = 1,974.11 × 1,257.75
  4. Step 4: Simplify right side
    1,317.69x = 2,482,930.56
  5. Step 5: Solve for x
    x = 2,482,930.56/1,317.69
  6. Step 6: Final answer
    x = 1,884.31

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Why These Related Problems?

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