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Finding the Fourth Proportional to 3,863.16, 5,780.16 and 2,220.48

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Solution

The fourth proportional to 3,863.16, 5,780.16 and 2,220.48 is: 3,322.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.16 : 5,780.16 = 2,220.48 : x
  2. Step 2: Convert to fraction form
    3,863.16/5,780.16 = 2,220.48/x
  3. Step 3: Cross multiply
    3,863.16x = 5,780.16 × 2,220.48
  4. Step 4: Simplify right side
    3,863.16x = 12,834,729.68
  5. Step 5: Solve for x
    x = 12,834,729.68/3,863.16
  6. Step 6: Final answer
    x = 3,322.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.