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Finding the Fourth Proportional to 3,077.68, 4,616.97 and 997

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Solution

The fourth proportional to 3,077.68, 4,616.97 and 997 is: 1,495.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.68 : 4,616.97 = 997 : x
  2. Step 2: Convert to fraction form
    3,077.68/4,616.97 = 997/x
  3. Step 3: Cross multiply
    3,077.68x = 4,616.97 × 997
  4. Step 4: Simplify right side
    3,077.68x = 4,603,119.09
  5. Step 5: Solve for x
    x = 4,603,119.09/3,077.68
  6. Step 6: Final answer
    x = 1,495.65

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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.