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Finding the Fourth Proportional to 11,820.60, 17,731.17 and 4,423.68

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Solution

The fourth proportional to 11,820.60, 17,731.17 and 4,423.68 is: 6,635.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820.60 : 17,731.17 = 4,423.68 : x
  2. Step 2: Convert to fraction form
    11,820.60/17,731.17 = 4,423.68/x
  3. Step 3: Cross multiply
    11,820.60x = 17,731.17 × 4,423.68
  4. Step 4: Simplify right side
    11,820.60x = 78,437,022.11
  5. Step 5: Solve for x
    x = 78,437,022.11/11,820.60
  6. Step 6: Final answer
    x = 6,635.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.