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Finding the Fourth Proportional to 21,392.22, 32,079.78 and 8,237.28

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Solution

The fourth proportional to 21,392.22, 32,079.78 and 8,237.28 is: 12,352.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,392.22 : 32,079.78 = 8,237.28 : x
  2. Step 2: Convert to fraction form
    21,392.22/32,079.78 = 8,237.28/x
  3. Step 3: Cross multiply
    21,392.22x = 32,079.78 × 8,237.28
  4. Step 4: Simplify right side
    21,392.22x = 264,250,130.20
  5. Step 5: Solve for x
    x = 264,250,130.20/21,392.22
  6. Step 6: Final answer
    x = 12,352.63

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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.