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Finding the Fourth Proportional to 3,423.64, 4,713.20 and 3,266.91

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Solution

The fourth proportional to 3,423.64, 4,713.20 and 3,266.91 is: 4,497.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.64 : 4,713.20 = 3,266.91 : x
  2. Step 2: Convert to fraction form
    3,423.64/4,713.20 = 3,266.91/x
  3. Step 3: Cross multiply
    3,423.64x = 4,713.20 × 3,266.91
  4. Step 4: Simplify right side
    3,423.64x = 15,397,560.31
  5. Step 5: Solve for x
    x = 15,397,560.31/3,423.64
  6. Step 6: Final answer
    x = 4,497.42

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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.