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Finding the Fourth Proportional to 20,775.68, 31,155.20 and 9,824

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Solution

The fourth proportional to 20,775.68, 31,155.20 and 9,824 is: 14,732.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,775.68 : 31,155.20 = 9,824 : x
  2. Step 2: Convert to fraction form
    20,775.68/31,155.20 = 9,824/x
  3. Step 3: Cross multiply
    20,775.68x = 31,155.20 × 9,824
  4. Step 4: Simplify right side
    20,775.68x = 306,068,684.80
  5. Step 5: Solve for x
    x = 306,068,684.80/20,775.68
  6. Step 6: Final answer
    x = 14,732.07

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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.