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Finding the Fourth Proportional to 1,899.74, 2,850.02 and 1,078.40

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Solution

The fourth proportional to 1,899.74, 2,850.02 and 1,078.40 is: 1,617.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899.74 : 2,850.02 = 1,078.40 : x
  2. Step 2: Convert to fraction form
    1,899.74/2,850.02 = 1,078.40/x
  3. Step 3: Cross multiply
    1,899.74x = 2,850.02 × 1,078.40
  4. Step 4: Simplify right side
    1,899.74x = 3,073,461.57
  5. Step 5: Solve for x
    x = 3,073,461.57/1,899.74
  6. Step 6: Final answer
    x = 1,617.83

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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.