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Finding the Fourth Proportional to 21,405.71, 32,086.94 and 8,932.65

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Solution

The fourth proportional to 21,405.71, 32,086.94 and 8,932.65 is: 13,389.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,405.71 : 32,086.94 = 8,932.65 : x
  2. Step 2: Convert to fraction form
    21,405.71/32,086.94 = 8,932.65/x
  3. Step 3: Cross multiply
    21,405.71x = 32,086.94 × 8,932.65
  4. Step 4: Simplify right side
    21,405.71x = 286,621,359.93
  5. Step 5: Solve for x
    x = 286,621,359.93/21,405.71
  6. Step 6: Final answer
    x = 13,389.95

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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.