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Finding the Fourth Proportional to 21,922.34, 32,888.38 and 6,338.78

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Solution

The fourth proportional to 21,922.34, 32,888.38 and 6,338.78 is: 9,509.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,922.34 : 32,888.38 = 6,338.78 : x
  2. Step 2: Convert to fraction form
    21,922.34/32,888.38 = 6,338.78/x
  3. Step 3: Cross multiply
    21,922.34x = 32,888.38 × 6,338.78
  4. Step 4: Simplify right side
    21,922.34x = 208,472,205.38
  5. Step 5: Solve for x
    x = 208,472,205.38/21,922.34
  6. Step 6: Final answer
    x = 9,509.58

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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.