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Finding the Fourth Proportional to 21,814.80, 32,722.52 and 5,398.80

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Solution

The fourth proportional to 21,814.80, 32,722.52 and 5,398.80 is: 8,098.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,814.80 : 32,722.52 = 5,398.80 : x
  2. Step 2: Convert to fraction form
    21,814.80/32,722.52 = 5,398.80/x
  3. Step 3: Cross multiply
    21,814.80x = 32,722.52 × 5,398.80
  4. Step 4: Simplify right side
    21,814.80x = 176,662,340.98
  5. Step 5: Solve for x
    x = 176,662,340.98/21,814.80
  6. Step 6: Final answer
    x = 8,098.28

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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.