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Finding the Fourth Proportional to 7,819.71, 11,720.21 and 5,466.87

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Solution

The fourth proportional to 7,819.71, 11,720.21 and 5,466.87 is: 8,193.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,819.71 : 11,720.21 = 5,466.87 : x
  2. Step 2: Convert to fraction form
    7,819.71/11,720.21 = 5,466.87/x
  3. Step 3: Cross multiply
    7,819.71x = 11,720.21 × 5,466.87
  4. Step 4: Simplify right side
    7,819.71x = 64,072,837.11
  5. Step 5: Solve for x
    x = 64,072,837.11/7,819.71
  6. Step 6: Final answer
    x = 8,193.76

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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.