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Finding the Fourth Proportional to 1,767.57, 2,651.79 and 1,248.59

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Solution

The fourth proportional to 1,767.57, 2,651.79 and 1,248.59 is: 1,873.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.57 : 2,651.79 = 1,248.59 : x
  2. Step 2: Convert to fraction form
    1,767.57/2,651.79 = 1,248.59/x
  3. Step 3: Cross multiply
    1,767.57x = 2,651.79 × 1,248.59
  4. Step 4: Simplify right side
    1,767.57x = 3,310,998.48
  5. Step 5: Solve for x
    x = 3,310,998.48/1,767.57
  6. Step 6: Final answer
    x = 1,873.19

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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.