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Finding the Fourth Proportional to 9,115, 13,673.82 and 2,872.90

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Solution

The fourth proportional to 9,115, 13,673.82 and 2,872.90 is: 4,309.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115 : 13,673.82 = 2,872.90 : x
  2. Step 2: Convert to fraction form
    9,115/13,673.82 = 2,872.90/x
  3. Step 3: Cross multiply
    9,115x = 13,673.82 × 2,872.90
  4. Step 4: Simplify right side
    9,115x = 39,283,517.48
  5. Step 5: Solve for x
    x = 39,283,517.48/9,115
  6. Step 6: Final answer
    x = 4,309.77

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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.