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Finding the Fourth Proportional to 2,101.40, 3,152.10 and 640.57

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Solution

The fourth proportional to 2,101.40, 3,152.10 and 640.57 is: 960.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.40 : 3,152.10 = 640.57 : x
  2. Step 2: Convert to fraction form
    2,101.40/3,152.10 = 640.57/x
  3. Step 3: Cross multiply
    2,101.40x = 3,152.10 × 640.57
  4. Step 4: Simplify right side
    2,101.40x = 2,019,140.70
  5. Step 5: Solve for x
    x = 2,019,140.70/2,101.40
  6. Step 6: Final answer
    x = 960.86

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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.