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Finding the Fourth Proportional to 2,101.80, 3,152.70 and 640.95

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Solution

The fourth proportional to 2,101.80, 3,152.70 and 640.95 is: 961.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.80 : 3,152.70 = 640.95 : x
  2. Step 2: Convert to fraction form
    2,101.80/3,152.70 = 640.95/x
  3. Step 3: Cross multiply
    2,101.80x = 3,152.70 × 640.95
  4. Step 4: Simplify right side
    2,101.80x = 2,020,723.07
  5. Step 5: Solve for x
    x = 2,020,723.07/2,101.80
  6. Step 6: Final answer
    x = 961.43

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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.