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Finding the Fourth Proportional to 1,902.48, 2,850.12 and 1,711.68

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Solution

The fourth proportional to 1,902.48, 2,850.12 and 1,711.68 is: 2,564.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.48 : 2,850.12 = 1,711.68 : x
  2. Step 2: Convert to fraction form
    1,902.48/2,850.12 = 1,711.68/x
  3. Step 3: Cross multiply
    1,902.48x = 2,850.12 × 1,711.68
  4. Step 4: Simplify right side
    1,902.48x = 4,878,493.40
  5. Step 5: Solve for x
    x = 4,878,493.40/1,902.48
  6. Step 6: Final answer
    x = 2,564.28

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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.