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Finding the Fourth Proportional to 21,919.22, 32,871.84 and 7,124.57

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Solution

The fourth proportional to 21,919.22, 32,871.84 and 7,124.57 is: 10,684.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,919.22 : 32,871.84 = 7,124.57 : x
  2. Step 2: Convert to fraction form
    21,919.22/32,871.84 = 7,124.57/x
  3. Step 3: Cross multiply
    21,919.22x = 32,871.84 × 7,124.57
  4. Step 4: Simplify right side
    21,919.22x = 234,197,882.28
  5. Step 5: Solve for x
    x = 234,197,882.28/21,919.22
  6. Step 6: Final answer
    x = 10,684.59

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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.