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Finding the Fourth Proportional to 2,077.94, 3,116.98 and 616.97

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Solution

The fourth proportional to 2,077.94, 3,116.98 and 616.97 is: 925.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.94 : 3,116.98 = 616.97 : x
  2. Step 2: Convert to fraction form
    2,077.94/3,116.98 = 616.97/x
  3. Step 3: Cross multiply
    2,077.94x = 3,116.98 × 616.97
  4. Step 4: Simplify right side
    2,077.94x = 1,923,083.15
  5. Step 5: Solve for x
    x = 1,923,083.15/2,077.94
  6. Step 6: Final answer
    x = 925.48

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1.5x scale

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.