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Finding the Fourth Proportional to 5,784.16, 7,982.16 and 3,131.57

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Solution

The fourth proportional to 5,784.16, 7,982.16 and 3,131.57 is: 4,321.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.16 : 7,982.16 = 3,131.57 : x
  2. Step 2: Convert to fraction form
    5,784.16/7,982.16 = 3,131.57/x
  3. Step 3: Cross multiply
    5,784.16x = 7,982.16 × 3,131.57
  4. Step 4: Simplify right side
    5,784.16x = 24,996,658.75
  5. Step 5: Solve for x
    x = 24,996,658.75/5,784.16
  6. Step 6: Final answer
    x = 4,321.57

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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.