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Finding the Fourth Proportional to 1,766.68, 2,661.47 and 1,680.72

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Solution

The fourth proportional to 1,766.68, 2,661.47 and 1,680.72 is: 2,531.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.68 : 2,661.47 = 1,680.72 : x
  2. Step 2: Convert to fraction form
    1,766.68/2,661.47 = 1,680.72/x
  3. Step 3: Cross multiply
    1,766.68x = 2,661.47 × 1,680.72
  4. Step 4: Simplify right side
    1,766.68x = 4,473,183.23
  5. Step 5: Solve for x
    x = 4,473,183.23/1,766.68
  6. Step 6: Final answer
    x = 2,531.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.