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Finding the Fourth Proportional to 3,934.04, 5,423.04 and 3,234.20

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Solution

The fourth proportional to 3,934.04, 5,423.04 and 3,234.20 is: 4,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.04 : 5,423.04 = 3,234.20 : x
  2. Step 2: Convert to fraction form
    3,934.04/5,423.04 = 3,234.20/x
  3. Step 3: Cross multiply
    3,934.04x = 5,423.04 × 3,234.20
  4. Step 4: Simplify right side
    3,934.04x = 17,539,195.97
  5. Step 5: Solve for x
    x = 17,539,195.97/3,934.04
  6. Step 6: Final answer
    x = 4,458.32

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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.