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Finding the Fourth Proportional to 21,838.38, 32,766.08 and 8,692.08

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Solution

The fourth proportional to 21,838.38, 32,766.08 and 8,692.08 is: 13,041.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,838.38 : 32,766.08 = 8,692.08 : x
  2. Step 2: Convert to fraction form
    21,838.38/32,766.08 = 8,692.08/x
  3. Step 3: Cross multiply
    21,838.38x = 32,766.08 × 8,692.08
  4. Step 4: Simplify right side
    21,838.38x = 284,805,388.65
  5. Step 5: Solve for x
    x = 284,805,388.65/21,838.38
  6. Step 6: Final answer
    x = 13,041.51

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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.