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Finding the Fourth Proportional to 3,906.91, 5,859.14 and 1,309.24

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Solution

The fourth proportional to 3,906.91, 5,859.14 and 1,309.24 is: 1,963.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.91 : 5,859.14 = 1,309.24 : x
  2. Step 2: Convert to fraction form
    3,906.91/5,859.14 = 1,309.24/x
  3. Step 3: Cross multiply
    3,906.91x = 5,859.14 × 1,309.24
  4. Step 4: Simplify right side
    3,906.91x = 7,671,015.80
  5. Step 5: Solve for x
    x = 7,671,015.80/3,906.91
  6. Step 6: Final answer
    x = 1,963.45

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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.