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Finding the Fourth Proportional to 2,077.82, 3,117.38 and 616.98

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Solution

The fourth proportional to 2,077.82, 3,117.38 and 616.98 is: 925.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.82 : 3,117.38 = 616.98 : x
  2. Step 2: Convert to fraction form
    2,077.82/3,117.38 = 616.98/x
  3. Step 3: Cross multiply
    2,077.82x = 3,117.38 × 616.98
  4. Step 4: Simplify right side
    2,077.82x = 1,923,361.11
  5. Step 5: Solve for x
    x = 1,923,361.11/2,077.82
  6. Step 6: Final answer
    x = 925.66

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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.