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Finding the Fourth Proportional to 5,486.90, 8,230.41 and 2,719.40

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Solution

The fourth proportional to 5,486.90, 8,230.41 and 2,719.40 is: 4,079.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.90 : 8,230.41 = 2,719.40 : x
  2. Step 2: Convert to fraction form
    5,486.90/8,230.41 = 2,719.40/x
  3. Step 3: Cross multiply
    5,486.90x = 8,230.41 × 2,719.40
  4. Step 4: Simplify right side
    5,486.90x = 22,381,735.80
  5. Step 5: Solve for x
    x = 22,381,735.80/5,486.90
  6. Step 6: Final answer
    x = 4,079.13

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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.