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Finding the Fourth Proportional to 2,371.44, 3,556.62 and 640.20

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Solution

The fourth proportional to 2,371.44, 3,556.62 and 640.20 is: 960.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.44 : 3,556.62 = 640.20 : x
  2. Step 2: Convert to fraction form
    2,371.44/3,556.62 = 640.20/x
  3. Step 3: Cross multiply
    2,371.44x = 3,556.62 × 640.20
  4. Step 4: Simplify right side
    2,371.44x = 2,276,948.12
  5. Step 5: Solve for x
    x = 2,276,948.12/2,371.44
  6. Step 6: Final answer
    x = 960.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.