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Finding the Fourth Proportional to 2,010, 2,770.02 and 1,449.48

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Solution

The fourth proportional to 2,010, 2,770.02 and 1,449.48 is: 1,997.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010 : 2,770.02 = 1,449.48 : x
  2. Step 2: Convert to fraction form
    2,010/2,770.02 = 1,449.48/x
  3. Step 3: Cross multiply
    2,010x = 2,770.02 × 1,449.48
  4. Step 4: Simplify right side
    2,010x = 4,015,088.59
  5. Step 5: Solve for x
    x = 4,015,088.59/2,010
  6. Step 6: Final answer
    x = 1,997.56

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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.