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Finding the Fourth Proportional to 3,948.68, 5,450.16 and 2,247.68

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Solution

The fourth proportional to 3,948.68, 5,450.16 and 2,247.68 is: 3,102.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.68 : 5,450.16 = 2,247.68 : x
  2. Step 2: Convert to fraction form
    3,948.68/5,450.16 = 2,247.68/x
  3. Step 3: Cross multiply
    3,948.68x = 5,450.16 × 2,247.68
  4. Step 4: Simplify right side
    3,948.68x = 12,250,215.63
  5. Step 5: Solve for x
    x = 12,250,215.63/3,948.68
  6. Step 6: Final answer
    x = 3,102.36

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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.