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Finding the Fourth Proportional to 2,874.54, 3,970.85 and 2,219.65

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Solution

The fourth proportional to 2,874.54, 3,970.85 and 2,219.65 is: 3,066.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.54 : 3,970.85 = 2,219.65 : x
  2. Step 2: Convert to fraction form
    2,874.54/3,970.85 = 2,219.65/x
  3. Step 3: Cross multiply
    2,874.54x = 3,970.85 × 2,219.65
  4. Step 4: Simplify right side
    2,874.54x = 8,813,904.76
  5. Step 5: Solve for x
    x = 8,813,904.76/2,874.54
  6. Step 6: Final answer
    x = 3,066.20

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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.