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Finding the Fourth Proportional to 5,640.92, 7,784.22 and 3,122.85

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Solution

The fourth proportional to 5,640.92, 7,784.22 and 3,122.85 is: 4,309.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.92 : 7,784.22 = 3,122.85 : x
  2. Step 2: Convert to fraction form
    5,640.92/7,784.22 = 3,122.85/x
  3. Step 3: Cross multiply
    5,640.92x = 7,784.22 × 3,122.85
  4. Step 4: Simplify right side
    5,640.92x = 24,308,968.91
  5. Step 5: Solve for x
    x = 24,308,968.91/5,640.92
  6. Step 6: Final answer
    x = 4,309.40

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1.5x scale

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.