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Finding the Fourth Proportional to 2,874.95, 3,967.49 and 2,246.21

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Solution

The fourth proportional to 2,874.95, 3,967.49 and 2,246.21 is: 3,099.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.95 : 3,967.49 = 2,246.21 : x
  2. Step 2: Convert to fraction form
    2,874.95/3,967.49 = 2,246.21/x
  3. Step 3: Cross multiply
    2,874.95x = 3,967.49 × 2,246.21
  4. Step 4: Simplify right side
    2,874.95x = 8,911,803.73
  5. Step 5: Solve for x
    x = 8,911,803.73/2,874.95
  6. Step 6: Final answer
    x = 3,099.81

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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.