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Finding the Fourth Proportional to 3,920.99, 5,410.64 and 2,242.13

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Solution

The fourth proportional to 3,920.99, 5,410.64 and 2,242.13 is: 3,093.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.99 : 5,410.64 = 2,242.13 : x
  2. Step 2: Convert to fraction form
    3,920.99/5,410.64 = 2,242.13/x
  3. Step 3: Cross multiply
    3,920.99x = 5,410.64 × 2,242.13
  4. Step 4: Simplify right side
    3,920.99x = 12,131,340.29
  5. Step 5: Solve for x
    x = 12,131,340.29/3,920.99
  6. Step 6: Final answer
    x = 3,093.95

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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.