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Finding the Fourth Proportional to 1,766.57, 2,650.29 and 1,247.59

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Solution

The fourth proportional to 1,766.57, 2,650.29 and 1,247.59 is: 1,871.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.57 : 2,650.29 = 1,247.59 : x
  2. Step 2: Convert to fraction form
    1,766.57/2,650.29 = 1,247.59/x
  3. Step 3: Cross multiply
    1,766.57x = 2,650.29 × 1,247.59
  4. Step 4: Simplify right side
    1,766.57x = 3,306,460.51
  5. Step 5: Solve for x
    x = 3,306,460.51/1,766.57
  6. Step 6: Final answer
    x = 1,871.68

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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.