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Finding the Fourth Proportional to 5,287.81, 7,933.80 and 2,169.31

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Solution

The fourth proportional to 5,287.81, 7,933.80 and 2,169.31 is: 3,254.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.81 : 7,933.80 = 2,169.31 : x
  2. Step 2: Convert to fraction form
    5,287.81/7,933.80 = 2,169.31/x
  3. Step 3: Cross multiply
    5,287.81x = 7,933.80 × 2,169.31
  4. Step 4: Simplify right side
    5,287.81x = 17,210,871.68
  5. Step 5: Solve for x
    x = 17,210,871.68/5,287.81
  6. Step 6: Final answer
    x = 3,254.82

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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.