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Finding the Fourth Proportional to 2,077.48, 3,116.88 and 616.66

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Solution

The fourth proportional to 2,077.48, 3,116.88 and 616.66 is: 925.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.48 : 3,116.88 = 616.66 : x
  2. Step 2: Convert to fraction form
    2,077.48/3,116.88 = 616.66/x
  3. Step 3: Cross multiply
    2,077.48x = 3,116.88 × 616.66
  4. Step 4: Simplify right side
    2,077.48x = 1,922,055.22
  5. Step 5: Solve for x
    x = 1,922,055.22/2,077.48
  6. Step 6: Final answer
    x = 925.19

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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.