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Finding the Fourth Proportional to 18,319.49, 27,460.68 and 7,234

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Solution

The fourth proportional to 18,319.49, 27,460.68 and 7,234 is: 10,843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,319.49 : 27,460.68 = 7,234 : x
  2. Step 2: Convert to fraction form
    18,319.49/27,460.68 = 7,234/x
  3. Step 3: Cross multiply
    18,319.49x = 27,460.68 × 7,234
  4. Step 4: Simplify right side
    18,319.49x = 198,650,559.12
  5. Step 5: Solve for x
    x = 198,650,559.12/18,319.49
  6. Step 6: Final answer
    x = 10,843.67

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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.