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Finding the Fourth Proportional to 5,784.68, 7,982.84 and 3,132.09

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Solution

The fourth proportional to 5,784.68, 7,982.84 and 3,132.09 is: 4,322.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.68 : 7,982.84 = 3,132.09 : x
  2. Step 2: Convert to fraction form
    5,784.68/7,982.84 = 3,132.09/x
  3. Step 3: Cross multiply
    5,784.68x = 7,982.84 × 3,132.09
  4. Step 4: Simplify right side
    5,784.68x = 25,002,957.68
  5. Step 5: Solve for x
    x = 25,002,957.68/5,784.68
  6. Step 6: Final answer
    x = 4,322.28

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