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Finding the Fourth Proportional to 6,480.22, 9,721.54 and 4,487.30

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Solution

The fourth proportional to 6,480.22, 9,721.54 and 4,487.30 is: 6,731.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.22 : 9,721.54 = 4,487.30 : x
  2. Step 2: Convert to fraction form
    6,480.22/9,721.54 = 4,487.30/x
  3. Step 3: Cross multiply
    6,480.22x = 9,721.54 × 4,487.30
  4. Step 4: Simplify right side
    6,480.22x = 43,623,466.44
  5. Step 5: Solve for x
    x = 43,623,466.44/6,480.22
  6. Step 6: Final answer
    x = 6,731.79

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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.