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Finding the Fourth Proportional to 3,224.42, 4,439.78 and 2,823.78

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Solution

The fourth proportional to 3,224.42, 4,439.78 and 2,823.78 is: 3,888.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.42 : 4,439.78 = 2,823.78 : x
  2. Step 2: Convert to fraction form
    3,224.42/4,439.78 = 2,823.78/x
  3. Step 3: Cross multiply
    3,224.42x = 4,439.78 × 2,823.78
  4. Step 4: Simplify right side
    3,224.42x = 12,536,950.11
  5. Step 5: Solve for x
    x = 12,536,950.11/3,224.42
  6. Step 6: Final answer
    x = 3,888.12

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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.