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Finding the Fourth Proportional to 20,322, 28,044.45 and 11,369.49

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Solution

The fourth proportional to 20,322, 28,044.45 and 11,369.49 is: 15,689.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,322 : 28,044.45 = 11,369.49 : x
  2. Step 2: Convert to fraction form
    20,322/28,044.45 = 11,369.49/x
  3. Step 3: Cross multiply
    20,322x = 28,044.45 × 11,369.49
  4. Step 4: Simplify right side
    20,322x = 318,851,093.83
  5. Step 5: Solve for x
    x = 318,851,093.83/20,322
  6. Step 6: Final answer
    x = 15,689.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.