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Finding the Fourth Proportional to 3,531, 4,872.78 and 1,959.20

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Solution

The fourth proportional to 3,531, 4,872.78 and 1,959.20 is: 2,703.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531 : 4,872.78 = 1,959.20 : x
  2. Step 2: Convert to fraction form
    3,531/4,872.78 = 1,959.20/x
  3. Step 3: Cross multiply
    3,531x = 4,872.78 × 1,959.20
  4. Step 4: Simplify right side
    3,531x = 9,546,726.21
  5. Step 5: Solve for x
    x = 9,546,726.21/3,531
  6. Step 6: Final answer
    x = 2,703.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.