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Finding the Fourth Proportional to 18,306, 27,449.28 and 8,440.20

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Solution

The fourth proportional to 18,306, 27,449.28 and 8,440.20 is: 12,655.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,306 : 27,449.28 = 8,440.20 : x
  2. Step 2: Convert to fraction form
    18,306/27,449.28 = 8,440.20/x
  3. Step 3: Cross multiply
    18,306x = 27,449.28 × 8,440.20
  4. Step 4: Simplify right side
    18,306x = 231,677,413.06
  5. Step 5: Solve for x
    x = 231,677,413.06/18,306
  6. Step 6: Final answer
    x = 12,655.82

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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.