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Finding the Fourth Proportional to 18,318.49, 27,459.18 and 7,233

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Solution

The fourth proportional to 18,318.49, 27,459.18 and 7,233 is: 10,842.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,318.49 : 27,459.18 = 7,233 : x
  2. Step 2: Convert to fraction form
    18,318.49/27,459.18 = 7,233/x
  3. Step 3: Cross multiply
    18,318.49x = 27,459.18 × 7,233
  4. Step 4: Simplify right side
    18,318.49x = 198,612,248.94
  5. Step 5: Solve for x
    x = 198,612,248.94/18,318.49
  6. Step 6: Final answer
    x = 10,842.17

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Why These Related Problems?

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