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Finding the Fourth Proportional to 2,000.80, 2,770.32 and 1,898.40

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Solution

The fourth proportional to 2,000.80, 2,770.32 and 1,898.40 is: 2,628.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.80 : 2,770.32 = 1,898.40 : x
  2. Step 2: Convert to fraction form
    2,000.80/2,770.32 = 1,898.40/x
  3. Step 3: Cross multiply
    2,000.80x = 2,770.32 × 1,898.40
  4. Step 4: Simplify right side
    2,000.80x = 5,259,175.49
  5. Step 5: Solve for x
    x = 5,259,175.49/2,000.80
  6. Step 6: Final answer
    x = 2,628.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.