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Finding the Fourth Proportional to 2,006.04, 2,987.90 and 1,902

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Solution

The fourth proportional to 2,006.04, 2,987.90 and 1,902 is: 2,832.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.04 : 2,987.90 = 1,902 : x
  2. Step 2: Convert to fraction form
    2,006.04/2,987.90 = 1,902/x
  3. Step 3: Cross multiply
    2,006.04x = 2,987.90 × 1,902
  4. Step 4: Simplify right side
    2,006.04x = 5,682,976.29
  5. Step 5: Solve for x
    x = 5,682,976.29/2,006.04
  6. Step 6: Final answer
    x = 2,832.93

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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.