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Finding the Fourth Proportional to 7,213.97, 9,962.02 and 5,308.85

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Solution

The fourth proportional to 7,213.97, 9,962.02 and 5,308.85 is: 7,331.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.97 : 9,962.02 = 5,308.85 : x
  2. Step 2: Convert to fraction form
    7,213.97/9,962.02 = 5,308.85/x
  3. Step 3: Cross multiply
    7,213.97x = 9,962.02 × 5,308.85
  4. Step 4: Simplify right side
    7,213.97x = 52,886,901.42
  5. Step 5: Solve for x
    x = 52,886,901.42/7,213.97
  6. Step 6: Final answer
    x = 7,331.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.