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Finding the Fourth Proportional to 3,874.75, 5,344.71 and 2,547.97

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Solution

The fourth proportional to 3,874.75, 5,344.71 and 2,547.97 is: 3,514.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.75 : 5,344.71 = 2,547.97 : x
  2. Step 2: Convert to fraction form
    3,874.75/5,344.71 = 2,547.97/x
  3. Step 3: Cross multiply
    3,874.75x = 5,344.71 × 2,547.97
  4. Step 4: Simplify right side
    3,874.75x = 13,618,160.74
  5. Step 5: Solve for x
    x = 13,618,160.74/3,874.75
  6. Step 6: Final answer
    x = 3,514.59

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1.5x scale

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.