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Finding the Fourth Proportional to 2,027.40, 3,041.40 and 640.86

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Solution

The fourth proportional to 2,027.40, 3,041.40 and 640.86 is: 961.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.40 : 3,041.40 = 640.86 : x
  2. Step 2: Convert to fraction form
    2,027.40/3,041.40 = 640.86/x
  3. Step 3: Cross multiply
    2,027.40x = 3,041.40 × 640.86
  4. Step 4: Simplify right side
    2,027.40x = 1,949,111.60
  5. Step 5: Solve for x
    x = 1,949,111.60/2,027.40
  6. Step 6: Final answer
    x = 961.38

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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.