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Finding the Fourth Proportional to 1,768.71, 2,651.26 and 1,153.65

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Solution

The fourth proportional to 1,768.71, 2,651.26 and 1,153.65 is: 1,729.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.71 : 2,651.26 = 1,153.65 : x
  2. Step 2: Convert to fraction form
    1,768.71/2,651.26 = 1,153.65/x
  3. Step 3: Cross multiply
    1,768.71x = 2,651.26 × 1,153.65
  4. Step 4: Simplify right side
    1,768.71x = 3,058,626.10
  5. Step 5: Solve for x
    x = 3,058,626.10/1,768.71
  6. Step 6: Final answer
    x = 1,729.30

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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.