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Finding the Fourth Proportional to 18,330, 27,495 and 6,643.23

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Solution

The fourth proportional to 18,330, 27,495 and 6,643.23 is: 9,964.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,330 : 27,495 = 6,643.23 : x
  2. Step 2: Convert to fraction form
    18,330/27,495 = 6,643.23/x
  3. Step 3: Cross multiply
    18,330x = 27,495 × 6,643.23
  4. Step 4: Simplify right side
    18,330x = 182,655,608.85
  5. Step 5: Solve for x
    x = 182,655,608.85/18,330
  6. Step 6: Final answer
    x = 9,964.85

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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.