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Finding the Fourth Proportional to 3,500.50, 5,250.75 and 1,192

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Solution

The fourth proportional to 3,500.50, 5,250.75 and 1,192 is: 1,788

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.50 : 5,250.75 = 1,192 : x
  2. Step 2: Convert to fraction form
    3,500.50/5,250.75 = 1,192/x
  3. Step 3: Cross multiply
    3,500.50x = 5,250.75 × 1,192
  4. Step 4: Simplify right side
    3,500.50x = 6,258,894
  5. Step 5: Solve for x
    x = 6,258,894/3,500.50
  6. Step 6: Final answer
    x = 1,788

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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.