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Finding the Fourth Proportional to 1,252.62, 1,879.14 and 1,165.68

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Solution

The fourth proportional to 1,252.62, 1,879.14 and 1,165.68 is: 1,748.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.62 : 1,879.14 = 1,165.68 : x
  2. Step 2: Convert to fraction form
    1,252.62/1,879.14 = 1,165.68/x
  3. Step 3: Cross multiply
    1,252.62x = 1,879.14 × 1,165.68
  4. Step 4: Simplify right side
    1,252.62x = 2,190,475.92
  5. Step 5: Solve for x
    x = 2,190,475.92/1,252.62
  6. Step 6: Final answer
    x = 1,748.72

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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.