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Finding the Fourth Proportional to 18,306, 27,442.71 and 6,616.62

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Solution

The fourth proportional to 18,306, 27,442.71 and 6,616.62 is: 9,919.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,306 : 27,442.71 = 6,616.62 : x
  2. Step 2: Convert to fraction form
    18,306/27,442.71 = 6,616.62/x
  3. Step 3: Cross multiply
    18,306x = 27,442.71 × 6,616.62
  4. Step 4: Simplify right side
    18,306x = 181,577,983.84
  5. Step 5: Solve for x
    x = 181,577,983.84/18,306
  6. Step 6: Final answer
    x = 9,919.04

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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.