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Finding the Fourth Proportional to 2,077.42, 3,116.44 and 616.39

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Solution

The fourth proportional to 2,077.42, 3,116.44 and 616.39 is: 924.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.42 : 3,116.44 = 616.39 : x
  2. Step 2: Convert to fraction form
    2,077.42/3,116.44 = 616.39/x
  3. Step 3: Cross multiply
    2,077.42x = 3,116.44 × 616.39
  4. Step 4: Simplify right side
    2,077.42x = 1,920,942.45
  5. Step 5: Solve for x
    x = 1,920,942.45/2,077.42
  6. Step 6: Final answer
    x = 924.68

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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.