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Finding the Fourth Proportional to 39,684, 54,763.92 and 22,020

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Solution

The fourth proportional to 39,684, 54,763.92 and 22,020 is: 30,387.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,684 : 54,763.92 = 22,020 : x
  2. Step 2: Convert to fraction form
    39,684/54,763.92 = 22,020/x
  3. Step 3: Cross multiply
    39,684x = 54,763.92 × 22,020
  4. Step 4: Simplify right side
    39,684x = 1,205,901,518.40
  5. Step 5: Solve for x
    x = 1,205,901,518.40/39,684
  6. Step 6: Final answer
    x = 30,387.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.