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Finding the Fourth Proportional to 5,221.56, 7,205.56 and 2,863.76

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Solution

The fourth proportional to 5,221.56, 7,205.56 and 2,863.76 is: 3,951.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.56 : 7,205.56 = 2,863.76 : x
  2. Step 2: Convert to fraction form
    5,221.56/7,205.56 = 2,863.76/x
  3. Step 3: Cross multiply
    5,221.56x = 7,205.56 × 2,863.76
  4. Step 4: Simplify right side
    5,221.56x = 20,634,951.32
  5. Step 5: Solve for x
    x = 20,634,951.32/5,221.56
  6. Step 6: Final answer
    x = 3,951.87

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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.