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Finding the Fourth Proportional to 2,682.40, 4,034.40 and 2,401.60

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Solution

The fourth proportional to 2,682.40, 4,034.40 and 2,401.60 is: 3,612.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.40 : 4,034.40 = 2,401.60 : x
  2. Step 2: Convert to fraction form
    2,682.40/4,034.40 = 2,401.60/x
  3. Step 3: Cross multiply
    2,682.40x = 4,034.40 × 2,401.60
  4. Step 4: Simplify right side
    2,682.40x = 9,689,015.04
  5. Step 5: Solve for x
    x = 9,689,015.04/2,682.40
  6. Step 6: Final answer
    x = 3,612.07

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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.