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Finding the Fourth Proportional to 6,309.73, 8,707.11 and 3,657.97

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Solution

The fourth proportional to 6,309.73, 8,707.11 and 3,657.97 is: 5,047.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.73 : 8,707.11 = 3,657.97 : x
  2. Step 2: Convert to fraction form
    6,309.73/8,707.11 = 3,657.97/x
  3. Step 3: Cross multiply
    6,309.73x = 8,707.11 × 3,657.97
  4. Step 4: Simplify right side
    6,309.73x = 31,850,347.17
  5. Step 5: Solve for x
    x = 31,850,347.17/6,309.73
  6. Step 6: Final answer
    x = 5,047.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.