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Finding the Fourth Proportional to 5,232.39, 7,847.73 and 1,721.31

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Solution

The fourth proportional to 5,232.39, 7,847.73 and 1,721.31 is: 2,581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.39 : 7,847.73 = 1,721.31 : x
  2. Step 2: Convert to fraction form
    5,232.39/7,847.73 = 1,721.31/x
  3. Step 3: Cross multiply
    5,232.39x = 7,847.73 × 1,721.31
  4. Step 4: Simplify right side
    5,232.39x = 13,508,376.13
  5. Step 5: Solve for x
    x = 13,508,376.13/5,232.39
  6. Step 6: Final answer
    x = 2,581.68

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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.