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Finding the Fourth Proportional to 12,223.80, 18,303.30 and 9,631.80

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Solution

The fourth proportional to 12,223.80, 18,303.30 and 9,631.80 is: 14,422.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.80 : 18,303.30 = 9,631.80 : x
  2. Step 2: Convert to fraction form
    12,223.80/18,303.30 = 9,631.80/x
  3. Step 3: Cross multiply
    12,223.80x = 18,303.30 × 9,631.80
  4. Step 4: Simplify right side
    12,223.80x = 176,293,724.94
  5. Step 5: Solve for x
    x = 176,293,724.94/12,223.80
  6. Step 6: Final answer
    x = 14,422.17

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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.