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Finding the Fourth Proportional to 6,551.73, 9,819.40 and 5,159.57

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Solution

The fourth proportional to 6,551.73, 9,819.40 and 5,159.57 is: 7,732.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.73 : 9,819.40 = 5,159.57 : x
  2. Step 2: Convert to fraction form
    6,551.73/9,819.40 = 5,159.57/x
  3. Step 3: Cross multiply
    6,551.73x = 9,819.40 × 5,159.57
  4. Step 4: Simplify right side
    6,551.73x = 50,663,893.31
  5. Step 5: Solve for x
    x = 50,663,893.31/6,551.73
  6. Step 6: Final answer
    x = 7,732.90

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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.