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Finding the Fourth Proportional to 2,372.16, 3,557.83 and 640.38

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Solution

The fourth proportional to 2,372.16, 3,557.83 and 640.38 is: 960.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.16 : 3,557.83 = 640.38 : x
  2. Step 2: Convert to fraction form
    2,372.16/3,557.83 = 640.38/x
  3. Step 3: Cross multiply
    2,372.16x = 3,557.83 × 640.38
  4. Step 4: Simplify right side
    2,372.16x = 2,278,363.18
  5. Step 5: Solve for x
    x = 2,278,363.18/2,372.16
  6. Step 6: Final answer
    x = 960.46

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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.