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Finding the Fourth Proportional to 21,859, 32,788.52 and 5,443

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Solution

The fourth proportional to 21,859, 32,788.52 and 5,443 is: 8,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,859 : 32,788.52 = 5,443 : x
  2. Step 2: Convert to fraction form
    21,859/32,788.52 = 5,443/x
  3. Step 3: Cross multiply
    21,859x = 32,788.52 × 5,443
  4. Step 4: Simplify right side
    21,859x = 178,467,914.36
  5. Step 5: Solve for x
    x = 178,467,914.36/21,859
  6. Step 6: Final answer
    x = 8,164.50

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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.