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Finding the Fourth Proportional to 1,902.78, 2,850 and 1,170.14

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Solution

The fourth proportional to 1,902.78, 2,850 and 1,170.14 is: 1,752.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.78 : 2,850 = 1,170.14 : x
  2. Step 2: Convert to fraction form
    1,902.78/2,850 = 1,170.14/x
  3. Step 3: Cross multiply
    1,902.78x = 2,850 × 1,170.14
  4. Step 4: Simplify right side
    1,902.78x = 3,334,884.75
  5. Step 5: Solve for x
    x = 3,334,884.75/1,902.78
  6. Step 6: Final answer
    x = 1,752.64

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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.