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Finding the Fourth Proportional to 3,920.92, 5,410.95 and 2,152.53

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Solution

The fourth proportional to 3,920.92, 5,410.95 and 2,152.53 is: 2,970.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.92 : 5,410.95 = 2,152.53 : x
  2. Step 2: Convert to fraction form
    3,920.92/5,410.95 = 2,152.53/x
  3. Step 3: Cross multiply
    3,920.92x = 5,410.95 × 2,152.53
  4. Step 4: Simplify right side
    3,920.92x = 11,647,232.20
  5. Step 5: Solve for x
    x = 11,647,232.20/3,920.92
  6. Step 6: Final answer
    x = 2,970.54

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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.