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Finding the Fourth Proportional to 3,874.61, 5,344.25 and 2,547.89

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Solution

The fourth proportional to 3,874.61, 5,344.25 and 2,547.89 is: 3,514.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.61 : 5,344.25 = 2,547.89 : x
  2. Step 2: Convert to fraction form
    3,874.61/5,344.25 = 2,547.89/x
  3. Step 3: Cross multiply
    3,874.61x = 5,344.25 × 2,547.89
  4. Step 4: Simplify right side
    3,874.61x = 13,616,534.41
  5. Step 5: Solve for x
    x = 13,616,534.41/3,874.61
  6. Step 6: Final answer
    x = 3,514.30

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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.