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Finding the Fourth Proportional to 6,481.57, 9,721.89 and 3,699.52

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Solution

The fourth proportional to 6,481.57, 9,721.89 and 3,699.52 is: 5,549.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.57 : 9,721.89 = 3,699.52 : x
  2. Step 2: Convert to fraction form
    6,481.57/9,721.89 = 3,699.52/x
  3. Step 3: Cross multiply
    6,481.57x = 9,721.89 × 3,699.52
  4. Step 4: Simplify right side
    6,481.57x = 35,966,277.88
  5. Step 5: Solve for x
    x = 35,966,277.88/6,481.57
  6. Step 6: Final answer
    x = 5,549.01

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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.