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Finding the Fourth Proportional to 4,577.88, 6,866 and 1,290.18

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Solution

The fourth proportional to 4,577.88, 6,866 and 1,290.18 is: 1,935.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.88 : 6,866 = 1,290.18 : x
  2. Step 2: Convert to fraction form
    4,577.88/6,866 = 1,290.18/x
  3. Step 3: Cross multiply
    4,577.88x = 6,866 × 1,290.18
  4. Step 4: Simplify right side
    4,577.88x = 8,858,375.88
  5. Step 5: Solve for x
    x = 8,858,375.88/4,577.88
  6. Step 6: Final answer
    x = 1,935.04

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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.