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Finding the Fourth Proportional to 7,205.76, 9,942.75 and 4,221.32

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Solution

The fourth proportional to 7,205.76, 9,942.75 and 4,221.32 is: 5,824.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.76 : 9,942.75 = 4,221.32 : x
  2. Step 2: Convert to fraction form
    7,205.76/9,942.75 = 4,221.32/x
  3. Step 3: Cross multiply
    7,205.76x = 9,942.75 × 4,221.32
  4. Step 4: Simplify right side
    7,205.76x = 41,971,479.72
  5. Step 5: Solve for x
    x = 41,971,479.72/7,205.76
  6. Step 6: Final answer
    x = 5,824.71

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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.