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Finding the Fourth Proportional to 21,340.58, 31,989 and 8,189.42

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Solution

The fourth proportional to 21,340.58, 31,989 and 8,189.42 is: 12,275.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,340.58 : 31,989 = 8,189.42 : x
  2. Step 2: Convert to fraction form
    21,340.58/31,989 = 8,189.42/x
  3. Step 3: Cross multiply
    21,340.58x = 31,989 × 8,189.42
  4. Step 4: Simplify right side
    21,340.58x = 261,971,356.38
  5. Step 5: Solve for x
    x = 261,971,356.38/21,340.58
  6. Step 6: Final answer
    x = 12,275.74

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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.