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Finding the Fourth Proportional to 2,001.20, 3,001.81 and 904.28

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Solution

The fourth proportional to 2,001.20, 3,001.81 and 904.28 is: 1,356.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.20 : 3,001.81 = 904.28 : x
  2. Step 2: Convert to fraction form
    2,001.20/3,001.81 = 904.28/x
  3. Step 3: Cross multiply
    2,001.20x = 3,001.81 × 904.28
  4. Step 4: Simplify right side
    2,001.20x = 2,714,476.75
  5. Step 5: Solve for x
    x = 2,714,476.75/2,001.20
  6. Step 6: Final answer
    x = 1,356.42

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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.