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Finding the Fourth Proportional to 2,077.93, 3,116.94 and 617.11

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Solution

The fourth proportional to 2,077.93, 3,116.94 and 617.11 is: 925.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.93 : 3,116.94 = 617.11 : x
  2. Step 2: Convert to fraction form
    2,077.93/3,116.94 = 617.11/x
  3. Step 3: Cross multiply
    2,077.93x = 3,116.94 × 617.11
  4. Step 4: Simplify right side
    2,077.93x = 1,923,494.84
  5. Step 5: Solve for x
    x = 1,923,494.84/2,077.93
  6. Step 6: Final answer
    x = 925.68

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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.