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Finding the Fourth Proportional to 7,221.76, 9,965.32 and 4,077.34

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Solution

The fourth proportional to 7,221.76, 9,965.32 and 4,077.34 is: 5,626.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.76 : 9,965.32 = 4,077.34 : x
  2. Step 2: Convert to fraction form
    7,221.76/9,965.32 = 4,077.34/x
  3. Step 3: Cross multiply
    7,221.76x = 9,965.32 × 4,077.34
  4. Step 4: Simplify right side
    7,221.76x = 40,631,997.85
  5. Step 5: Solve for x
    x = 40,631,997.85/7,221.76
  6. Step 6: Final answer
    x = 5,626.33

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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.