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Finding the Fourth Proportional to 3,920.62, 5,410.50 and 2,152.42

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Solution

The fourth proportional to 3,920.62, 5,410.50 and 2,152.42 is: 2,970.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.62 : 5,410.50 = 2,152.42 : x
  2. Step 2: Convert to fraction form
    3,920.62/5,410.50 = 2,152.42/x
  3. Step 3: Cross multiply
    3,920.62x = 5,410.50 × 2,152.42
  4. Step 4: Simplify right side
    3,920.62x = 11,645,668.41
  5. Step 5: Solve for x
    x = 11,645,668.41/3,920.62
  6. Step 6: Final answer
    x = 2,970.36

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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.