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Finding the Fourth Proportional to 22,020, 33,030.30 and 8,169

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Solution

The fourth proportional to 22,020, 33,030.30 and 8,169 is: 12,253.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,020 : 33,030.30 = 8,169 : x
  2. Step 2: Convert to fraction form
    22,020/33,030.30 = 8,169/x
  3. Step 3: Cross multiply
    22,020x = 33,030.30 × 8,169
  4. Step 4: Simplify right side
    22,020x = 269,824,520.70
  5. Step 5: Solve for x
    x = 269,824,520.70/22,020
  6. Step 6: Final answer
    x = 12,253.61

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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.