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Finding the Fourth Proportional to 3,931.47, 5,905.85 and 3,067.47

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Solution

The fourth proportional to 3,931.47, 5,905.85 and 3,067.47 is: 4,607.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,931.47 : 5,905.85 = 3,067.47 : x
  2. Step 2: Convert to fraction form
    3,931.47/5,905.85 = 3,067.47/x
  3. Step 3: Cross multiply
    3,931.47x = 5,905.85 × 3,067.47
  4. Step 4: Simplify right side
    3,931.47x = 18,116,002.36
  5. Step 5: Solve for x
    x = 18,116,002.36/3,931.47
  6. Step 6: Final answer
    x = 4,607.95

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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.