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Finding the Fourth Proportional to 5,647.71, 7,795.44 and 3,290.61

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Solution

The fourth proportional to 5,647.71, 7,795.44 and 3,290.61 is: 4,541.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.71 : 7,795.44 = 3,290.61 : x
  2. Step 2: Convert to fraction form
    5,647.71/7,795.44 = 3,290.61/x
  3. Step 3: Cross multiply
    5,647.71x = 7,795.44 × 3,290.61
  4. Step 4: Simplify right side
    5,647.71x = 25,651,752.82
  5. Step 5: Solve for x
    x = 25,651,752.82/5,647.71
  6. Step 6: Final answer
    x = 4,541.97

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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.