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Finding the Fourth Proportional to 1,874.05, 2,806.81 and 1,142.01

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Solution

The fourth proportional to 1,874.05, 2,806.81 and 1,142.01 is: 1,710.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.05 : 2,806.81 = 1,142.01 : x
  2. Step 2: Convert to fraction form
    1,874.05/2,806.81 = 1,142.01/x
  3. Step 3: Cross multiply
    1,874.05x = 2,806.81 × 1,142.01
  4. Step 4: Simplify right side
    1,874.05x = 3,205,405.09
  5. Step 5: Solve for x
    x = 3,205,405.09/1,874.05
  6. Step 6: Final answer
    x = 1,710.42

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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.