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Finding the Fourth Proportional to 3,859.75, 5,789.61 and 938.06

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Solution

The fourth proportional to 3,859.75, 5,789.61 and 938.06 is: 1,407.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.75 : 5,789.61 = 938.06 : x
  2. Step 2: Convert to fraction form
    3,859.75/5,789.61 = 938.06/x
  3. Step 3: Cross multiply
    3,859.75x = 5,789.61 × 938.06
  4. Step 4: Simplify right side
    3,859.75x = 5,430,974.95
  5. Step 5: Solve for x
    x = 5,430,974.95/3,859.75
  6. Step 6: Final answer
    x = 1,407.08

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1.5x scale

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.