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Finding the Fourth Proportional to 21,596.27, 32,398.49 and 8,447.81

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Solution

The fourth proportional to 21,596.27, 32,398.49 and 8,447.81 is: 12,673.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,596.27 : 32,398.49 = 8,447.81 : x
  2. Step 2: Convert to fraction form
    21,596.27/32,398.49 = 8,447.81/x
  3. Step 3: Cross multiply
    21,596.27x = 32,398.49 × 8,447.81
  4. Step 4: Simplify right side
    21,596.27x = 273,696,389.92
  5. Step 5: Solve for x
    x = 273,696,389.92/21,596.27
  6. Step 6: Final answer
    x = 12,673.32

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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.