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Finding the Fourth Proportional to 7,213.48, 9,952.32 and 4,229.80

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Solution

The fourth proportional to 7,213.48, 9,952.32 and 4,229.80 is: 5,835.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.48 : 9,952.32 = 4,229.80 : x
  2. Step 2: Convert to fraction form
    7,213.48/9,952.32 = 4,229.80/x
  3. Step 3: Cross multiply
    7,213.48x = 9,952.32 × 4,229.80
  4. Step 4: Simplify right side
    7,213.48x = 42,096,323.14
  5. Step 5: Solve for x
    x = 42,096,323.14/7,213.48
  6. Step 6: Final answer
    x = 5,835.79

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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.