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Finding the Fourth Proportional to 21,797.95, 32,689.40 and 8,467.81

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Solution

The fourth proportional to 21,797.95, 32,689.40 and 8,467.81 is: 12,698.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,797.95 : 32,689.40 = 8,467.81 : x
  2. Step 2: Convert to fraction form
    21,797.95/32,689.40 = 8,467.81/x
  3. Step 3: Cross multiply
    21,797.95x = 32,689.40 × 8,467.81
  4. Step 4: Simplify right side
    21,797.95x = 276,807,527.97
  5. Step 5: Solve for x
    x = 276,807,527.97/21,797.95
  6. Step 6: Final answer
    x = 12,698.79

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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.