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Finding the Fourth Proportional to 5,640.52, 7,784.52 and 3,122.84

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Solution

The fourth proportional to 5,640.52, 7,784.52 and 3,122.84 is: 4,309.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.52 : 7,784.52 = 3,122.84 : x
  2. Step 2: Convert to fraction form
    5,640.52/7,784.52 = 3,122.84/x
  3. Step 3: Cross multiply
    5,640.52x = 7,784.52 × 3,122.84
  4. Step 4: Simplify right side
    5,640.52x = 24,309,810.44
  5. Step 5: Solve for x
    x = 24,309,810.44/5,640.52
  6. Step 6: Final answer
    x = 4,309.85

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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.