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Finding the Fourth Proportional to 7,221.57, 9,961.79 and 5,878.63

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Solution

The fourth proportional to 7,221.57, 9,961.79 and 5,878.63 is: 8,109.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.57 : 9,961.79 = 5,878.63 : x
  2. Step 2: Convert to fraction form
    7,221.57/9,961.79 = 5,878.63/x
  3. Step 3: Cross multiply
    7,221.57x = 9,961.79 × 5,878.63
  4. Step 4: Simplify right side
    7,221.57x = 58,561,604.57
  5. Step 5: Solve for x
    x = 58,561,604.57/7,221.57
  6. Step 6: Final answer
    x = 8,109.26

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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.