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Finding the Fourth Proportional to 21,933, 32,902.92 and 7,138.42

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Solution

The fourth proportional to 21,933, 32,902.92 and 7,138.42 is: 10,708.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,933 : 32,902.92 = 7,138.42 : x
  2. Step 2: Convert to fraction form
    21,933/32,902.92 = 7,138.42/x
  3. Step 3: Cross multiply
    21,933x = 32,902.92 × 7,138.42
  4. Step 4: Simplify right side
    21,933x = 234,874,779.93
  5. Step 5: Solve for x
    x = 234,874,779.93/21,933
  6. Step 6: Final answer
    x = 10,708.74

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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.