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Finding the Fourth Proportional to 7,205.85, 9,944.05 and 4,019.15

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Solution

The fourth proportional to 7,205.85, 9,944.05 and 4,019.15 is: 5,546.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.85 : 9,944.05 = 4,019.15 : x
  2. Step 2: Convert to fraction form
    7,205.85/9,944.05 = 4,019.15/x
  3. Step 3: Cross multiply
    7,205.85x = 9,944.05 × 4,019.15
  4. Step 4: Simplify right side
    7,205.85x = 39,966,568.79
  5. Step 5: Solve for x
    x = 39,966,568.79/7,205.85
  6. Step 6: Final answer
    x = 5,546.41

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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.