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Finding the Fourth Proportional to 22,663, 33,886.32 and 20,677.87

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Solution

The fourth proportional to 22,663, 33,886.32 and 20,677.87 is: 30,918.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,663 : 33,886.32 = 20,677.87 : x
  2. Step 2: Convert to fraction form
    22,663/33,886.32 = 20,677.87/x
  3. Step 3: Cross multiply
    22,663x = 33,886.32 × 20,677.87
  4. Step 4: Simplify right side
    22,663x = 700,696,919.74
  5. Step 5: Solve for x
    x = 700,696,919.74/22,663
  6. Step 6: Final answer
    x = 30,918.10

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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.