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Finding the Fourth Proportional to 1,767.75, 2,646.15 and 1,616.55

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Solution

The fourth proportional to 1,767.75, 2,646.15 and 1,616.55 is: 2,419.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.75 : 2,646.15 = 1,616.55 : x
  2. Step 2: Convert to fraction form
    1,767.75/2,646.15 = 1,616.55/x
  3. Step 3: Cross multiply
    1,767.75x = 2,646.15 × 1,616.55
  4. Step 4: Simplify right side
    1,767.75x = 4,277,633.78
  5. Step 5: Solve for x
    x = 4,277,633.78/1,767.75
  6. Step 6: Final answer
    x = 2,419.82

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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.