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Finding the Fourth Proportional to 3,878.40, 5,806.17 and 2,559.72

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Solution

The fourth proportional to 3,878.40, 5,806.17 and 2,559.72 is: 3,832.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.40 : 5,806.17 = 2,559.72 : x
  2. Step 2: Convert to fraction form
    3,878.40/5,806.17 = 2,559.72/x
  3. Step 3: Cross multiply
    3,878.40x = 5,806.17 × 2,559.72
  4. Step 4: Simplify right side
    3,878.40x = 14,862,169.47
  5. Step 5: Solve for x
    x = 14,862,169.47/3,878.40
  6. Step 6: Final answer
    x = 3,832.04

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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.