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Finding the Fourth Proportional to 21,857.34, 32,788.92 and 7,062.66

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Solution

The fourth proportional to 21,857.34, 32,788.92 and 7,062.66 is: 10,594.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,857.34 : 32,788.92 = 7,062.66 : x
  2. Step 2: Convert to fraction form
    21,857.34/32,788.92 = 7,062.66/x
  3. Step 3: Cross multiply
    21,857.34x = 32,788.92 × 7,062.66
  4. Step 4: Simplify right side
    21,857.34x = 231,576,993.73
  5. Step 5: Solve for x
    x = 231,576,993.73/21,857.34
  6. Step 6: Final answer
    x = 10,594.93

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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.