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Finding the Fourth Proportional to 6,481.72, 9,721.77 and 1,802.08

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Solution

The fourth proportional to 6,481.72, 9,721.77 and 1,802.08 is: 2,702.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.72 : 9,721.77 = 1,802.08 : x
  2. Step 2: Convert to fraction form
    6,481.72/9,721.77 = 1,802.08/x
  3. Step 3: Cross multiply
    6,481.72x = 9,721.77 × 1,802.08
  4. Step 4: Simplify right side
    6,481.72x = 17,519,407.28
  5. Step 5: Solve for x
    x = 17,519,407.28/6,481.72
  6. Step 6: Final answer
    x = 2,702.89

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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.