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Finding the Fourth Proportional to 21,388.78, 32,084.79 and 5,806

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Solution

The fourth proportional to 21,388.78, 32,084.79 and 5,806 is: 8,709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,388.78 : 32,084.79 = 5,806 : x
  2. Step 2: Convert to fraction form
    21,388.78/32,084.79 = 5,806/x
  3. Step 3: Cross multiply
    21,388.78x = 32,084.79 × 5,806
  4. Step 4: Simplify right side
    21,388.78x = 186,284,290.74
  5. Step 5: Solve for x
    x = 186,284,290.74/21,388.78
  6. Step 6: Final answer
    x = 8,709.44

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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.