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Finding the Fourth Proportional to 5,640.73, 7,784.10 and 3,515.20

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Solution

The fourth proportional to 5,640.73, 7,784.10 and 3,515.20 is: 4,850.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.73 : 7,784.10 = 3,515.20 : x
  2. Step 2: Convert to fraction form
    5,640.73/7,784.10 = 3,515.20/x
  3. Step 3: Cross multiply
    5,640.73x = 7,784.10 × 3,515.20
  4. Step 4: Simplify right side
    5,640.73x = 27,362,668.32
  5. Step 5: Solve for x
    x = 27,362,668.32/5,640.73
  6. Step 6: Final answer
    x = 4,850.91

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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.