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Finding the Fourth Proportional to 2,077.45, 3,116.69 and 616.60

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Solution

The fourth proportional to 2,077.45, 3,116.69 and 616.60 is: 925.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.45 : 3,116.69 = 616.60 : x
  2. Step 2: Convert to fraction form
    2,077.45/3,116.69 = 616.60/x
  3. Step 3: Cross multiply
    2,077.45x = 3,116.69 × 616.60
  4. Step 4: Simplify right side
    2,077.45x = 1,921,753.02
  5. Step 5: Solve for x
    x = 1,921,753.02/2,077.45
  6. Step 6: Final answer
    x = 925.05

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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.