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Finding the Fourth Proportional to 6,487.72, 9,731.69 and 3,201.07

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Solution

The fourth proportional to 6,487.72, 9,731.69 and 3,201.07 is: 4,801.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.72 : 9,731.69 = 3,201.07 : x
  2. Step 2: Convert to fraction form
    6,487.72/9,731.69 = 3,201.07/x
  3. Step 3: Cross multiply
    6,487.72x = 9,731.69 × 3,201.07
  4. Step 4: Simplify right side
    6,487.72x = 31,151,820.91
  5. Step 5: Solve for x
    x = 31,151,820.91/6,487.72
  6. Step 6: Final answer
    x = 4,801.66

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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.