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Finding the Fourth Proportional to 5,640.87, 7,784.38 and 3,283

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Solution

The fourth proportional to 5,640.87, 7,784.38 and 3,283 is: 4,530.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.87 : 7,784.38 = 3,283 : x
  2. Step 2: Convert to fraction form
    5,640.87/7,784.38 = 3,283/x
  3. Step 3: Cross multiply
    5,640.87x = 7,784.38 × 3,283
  4. Step 4: Simplify right side
    5,640.87x = 25,556,119.54
  5. Step 5: Solve for x
    x = 25,556,119.54/5,640.87
  6. Step 6: Final answer
    x = 4,530.53

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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.