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Finding the Fourth Proportional to 5,213.39, 7,822.29 and 3,459

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Solution

The fourth proportional to 5,213.39, 7,822.29 and 3,459 is: 5,189.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.39 : 7,822.29 = 3,459 : x
  2. Step 2: Convert to fraction form
    5,213.39/7,822.29 = 3,459/x
  3. Step 3: Cross multiply
    5,213.39x = 7,822.29 × 3,459
  4. Step 4: Simplify right side
    5,213.39x = 27,057,301.11
  5. Step 5: Solve for x
    x = 27,057,301.11/5,213.39
  6. Step 6: Final answer
    x = 5,189.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.