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Finding the Fourth Proportional to 3,906.36, 5,859.54 and 3,384.72

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Solution

The fourth proportional to 3,906.36, 5,859.54 and 3,384.72 is: 5,077.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.36 : 5,859.54 = 3,384.72 : x
  2. Step 2: Convert to fraction form
    3,906.36/5,859.54 = 3,384.72/x
  3. Step 3: Cross multiply
    3,906.36x = 5,859.54 × 3,384.72
  4. Step 4: Simplify right side
    3,906.36x = 19,832,902.23
  5. Step 5: Solve for x
    x = 19,832,902.23/3,906.36
  6. Step 6: Final answer
    x = 5,077.08

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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.