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Finding the Fourth Proportional to 21,813.68, 32,715.58 and 8,662.52

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Solution

The fourth proportional to 21,813.68, 32,715.58 and 8,662.52 is: 12,991.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,813.68 : 32,715.58 = 8,662.52 : x
  2. Step 2: Convert to fraction form
    21,813.68/32,715.58 = 8,662.52/x
  3. Step 3: Cross multiply
    21,813.68x = 32,715.58 × 8,662.52
  4. Step 4: Simplify right side
    21,813.68x = 283,399,366.06
  5. Step 5: Solve for x
    x = 283,399,366.06/21,813.68
  6. Step 6: Final answer
    x = 12,991.82

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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.