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Finding the Fourth Proportional to 2,009.36, 3,000.29 and 1,799.78

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Solution

The fourth proportional to 2,009.36, 3,000.29 and 1,799.78 is: 2,687.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.36 : 3,000.29 = 1,799.78 : x
  2. Step 2: Convert to fraction form
    2,009.36/3,000.29 = 1,799.78/x
  3. Step 3: Cross multiply
    2,009.36x = 3,000.29 × 1,799.78
  4. Step 4: Simplify right side
    2,009.36x = 5,399,837.94
  5. Step 5: Solve for x
    x = 5,399,837.94/2,009.36
  6. Step 6: Final answer
    x = 2,687.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.