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Finding the Fourth Proportional to 2,101.11, 3,152.14 and 640.41

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Solution

The fourth proportional to 2,101.11, 3,152.14 and 640.41 is: 960.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.11 : 3,152.14 = 640.41 : x
  2. Step 2: Convert to fraction form
    2,101.11/3,152.14 = 640.41/x
  3. Step 3: Cross multiply
    2,101.11x = 3,152.14 × 640.41
  4. Step 4: Simplify right side
    2,101.11x = 2,018,660.38
  5. Step 5: Solve for x
    x = 2,018,660.38/2,101.11
  6. Step 6: Final answer
    x = 960.76

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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.