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Finding the Fourth Proportional to 21,891, 32,854.42 and 15,330.36

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Solution

The fourth proportional to 21,891, 32,854.42 and 15,330.36 is: 23,008.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,891 : 32,854.42 = 15,330.36 : x
  2. Step 2: Convert to fraction form
    21,891/32,854.42 = 15,330.36/x
  3. Step 3: Cross multiply
    21,891x = 32,854.42 × 15,330.36
  4. Step 4: Simplify right side
    21,891x = 503,670,086.19
  5. Step 5: Solve for x
    x = 503,670,086.19/21,891
  6. Step 6: Final answer
    x = 23,008.09

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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.