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Finding the Fourth Proportional to 15,022.68, 20,731.12 and 8,308.80

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Solution

The fourth proportional to 15,022.68, 20,731.12 and 8,308.80 is: 11,466.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,022.68 : 20,731.12 = 8,308.80 : x
  2. Step 2: Convert to fraction form
    15,022.68/20,731.12 = 8,308.80/x
  3. Step 3: Cross multiply
    15,022.68x = 20,731.12 × 8,308.80
  4. Step 4: Simplify right side
    15,022.68x = 172,250,729.86
  5. Step 5: Solve for x
    x = 172,250,729.86/15,022.68
  6. Step 6: Final answer
    x = 11,466.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.