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Finding the Fourth Proportional to 3,087.88, 4,631.84 and 779.38

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Solution

The fourth proportional to 3,087.88, 4,631.84 and 779.38 is: 1,169.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,087.88 : 4,631.84 = 779.38 : x
  2. Step 2: Convert to fraction form
    3,087.88/4,631.84 = 779.38/x
  3. Step 3: Cross multiply
    3,087.88x = 4,631.84 × 779.38
  4. Step 4: Simplify right side
    3,087.88x = 3,609,963.46
  5. Step 5: Solve for x
    x = 3,609,963.46/3,087.88
  6. Step 6: Final answer
    x = 1,169.08

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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.