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Finding the Fourth Proportional to 2,214.78, 3,322.16 and 1,728.24

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Solution

The fourth proportional to 2,214.78, 3,322.16 and 1,728.24 is: 2,592.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.78 : 3,322.16 = 1,728.24 : x
  2. Step 2: Convert to fraction form
    2,214.78/3,322.16 = 1,728.24/x
  3. Step 3: Cross multiply
    2,214.78x = 3,322.16 × 1,728.24
  4. Step 4: Simplify right side
    2,214.78x = 5,741,489.80
  5. Step 5: Solve for x
    x = 5,741,489.80/2,214.78
  6. Step 6: Final answer
    x = 2,592.35

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1.5x scale

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.