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Finding the Fourth Proportional to 21,778.70, 32,640.50 and 12,424.01

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Solution

The fourth proportional to 21,778.70, 32,640.50 and 12,424.01 is: 18,620.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,778.70 : 32,640.50 = 12,424.01 : x
  2. Step 2: Convert to fraction form
    21,778.70/32,640.50 = 12,424.01/x
  3. Step 3: Cross multiply
    21,778.70x = 32,640.50 × 12,424.01
  4. Step 4: Simplify right side
    21,778.70x = 405,525,898.41
  5. Step 5: Solve for x
    x = 405,525,898.41/21,778.70
  6. Step 6: Final answer
    x = 18,620.30

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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.