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Finding the Fourth Proportional to 3,872.40, 5,805.72 and 1,818

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Solution

The fourth proportional to 3,872.40, 5,805.72 and 1,818 is: 2,725.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.40 : 5,805.72 = 1,818 : x
  2. Step 2: Convert to fraction form
    3,872.40/5,805.72 = 1,818/x
  3. Step 3: Cross multiply
    3,872.40x = 5,805.72 × 1,818
  4. Step 4: Simplify right side
    3,872.40x = 10,554,798.96
  5. Step 5: Solve for x
    x = 10,554,798.96/3,872.40
  6. Step 6: Final answer
    x = 2,725.65

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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.