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Finding the Fourth Proportional to 7,221.57, 9,965.79 and 3,909.57

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Solution

The fourth proportional to 7,221.57, 9,965.79 and 3,909.57 is: 5,395.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.57 : 9,965.79 = 3,909.57 : x
  2. Step 2: Convert to fraction form
    7,221.57/9,965.79 = 3,909.57/x
  3. Step 3: Cross multiply
    7,221.57x = 9,965.79 × 3,909.57
  4. Step 4: Simplify right side
    7,221.57x = 38,961,953.61
  5. Step 5: Solve for x
    x = 38,961,953.61/7,221.57
  6. Step 6: Final answer
    x = 5,395.22

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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.