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Finding the Fourth Proportional to 2,684, 4,026.30 and 2,408.40

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Solution

The fourth proportional to 2,684, 4,026.30 and 2,408.40 is: 3,612.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684 : 4,026.30 = 2,408.40 : x
  2. Step 2: Convert to fraction form
    2,684/4,026.30 = 2,408.40/x
  3. Step 3: Cross multiply
    2,684x = 4,026.30 × 2,408.40
  4. Step 4: Simplify right side
    2,684x = 9,696,940.92
  5. Step 5: Solve for x
    x = 9,696,940.92/2,684
  6. Step 6: Final answer
    x = 3,612.87

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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.