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Finding the Fourth Proportional to 2,372.08, 3,558.12 and 640.84

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Solution

The fourth proportional to 2,372.08, 3,558.12 and 640.84 is: 961.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.08 : 3,558.12 = 640.84 : x
  2. Step 2: Convert to fraction form
    2,372.08/3,558.12 = 640.84/x
  3. Step 3: Cross multiply
    2,372.08x = 3,558.12 × 640.84
  4. Step 4: Simplify right side
    2,372.08x = 2,280,185.62
  5. Step 5: Solve for x
    x = 2,280,185.62/2,372.08
  6. Step 6: Final answer
    x = 961.26

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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.