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Finding the Fourth Proportional to 3,937.78, 5,906.33 and 1,305.01

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Solution

The fourth proportional to 3,937.78, 5,906.33 and 1,305.01 is: 1,957.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.78 : 5,906.33 = 1,305.01 : x
  2. Step 2: Convert to fraction form
    3,937.78/5,906.33 = 1,305.01/x
  3. Step 3: Cross multiply
    3,937.78x = 5,906.33 × 1,305.01
  4. Step 4: Simplify right side
    3,937.78x = 7,707,783.66
  5. Step 5: Solve for x
    x = 7,707,783.66/3,937.78
  6. Step 6: Final answer
    x = 1,957.40

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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.