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Finding the Fourth Proportional to 20,636.88, 30,955.32 and 8,322

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Solution

The fourth proportional to 20,636.88, 30,955.32 and 8,322 is: 12,483.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,636.88 : 30,955.32 = 8,322 : x
  2. Step 2: Convert to fraction form
    20,636.88/30,955.32 = 8,322/x
  3. Step 3: Cross multiply
    20,636.88x = 30,955.32 × 8,322
  4. Step 4: Simplify right side
    20,636.88x = 257,610,173.04
  5. Step 5: Solve for x
    x = 257,610,173.04/20,636.88
  6. Step 6: Final answer
    x = 12,483.00

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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.