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Finding the Fourth Proportional to 1,901.01, 2,849.39 and 859.45

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Solution

The fourth proportional to 1,901.01, 2,849.39 and 859.45 is: 1,288.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.01 : 2,849.39 = 859.45 : x
  2. Step 2: Convert to fraction form
    1,901.01/2,849.39 = 859.45/x
  3. Step 3: Cross multiply
    1,901.01x = 2,849.39 × 859.45
  4. Step 4: Simplify right side
    1,901.01x = 2,448,902.96
  5. Step 5: Solve for x
    x = 2,448,902.96/1,901.01
  6. Step 6: Final answer
    x = 1,288.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.