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Finding the Fourth Proportional to 2,466.75, 3,410.19 and 2,363.48

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Solution

The fourth proportional to 2,466.75, 3,410.19 and 2,363.48 is: 3,267.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.75 : 3,410.19 = 2,363.48 : x
  2. Step 2: Convert to fraction form
    2,466.75/3,410.19 = 2,363.48/x
  3. Step 3: Cross multiply
    2,466.75x = 3,410.19 × 2,363.48
  4. Step 4: Simplify right side
    2,466.75x = 8,059,915.86
  5. Step 5: Solve for x
    x = 8,059,915.86/2,466.75
  6. Step 6: Final answer
    x = 3,267.42

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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.