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Finding the Fourth Proportional to 18,420, 27,630.72 and 7,332

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Solution

The fourth proportional to 18,420, 27,630.72 and 7,332 is: 10,998.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,420 : 27,630.72 = 7,332 : x
  2. Step 2: Convert to fraction form
    18,420/27,630.72 = 7,332/x
  3. Step 3: Cross multiply
    18,420x = 27,630.72 × 7,332
  4. Step 4: Simplify right side
    18,420x = 202,588,439.04
  5. Step 5: Solve for x
    x = 202,588,439.04/18,420
  6. Step 6: Final answer
    x = 10,998.29

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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.