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Finding the Fourth Proportional to 6,499.53, 9,749.92 and 1,819.55

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Solution

The fourth proportional to 6,499.53, 9,749.92 and 1,819.55 is: 2,729.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.53 : 9,749.92 = 1,819.55 : x
  2. Step 2: Convert to fraction form
    6,499.53/9,749.92 = 1,819.55/x
  3. Step 3: Cross multiply
    6,499.53x = 9,749.92 × 1,819.55
  4. Step 4: Simplify right side
    6,499.53x = 17,740,466.94
  5. Step 5: Solve for x
    x = 17,740,466.94/6,499.53
  6. Step 6: Final answer
    x = 2,729.50

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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.