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Finding the Fourth Proportional to 3,906.64, 5,860.01 and 1,274.13

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Solution

The fourth proportional to 3,906.64, 5,860.01 and 1,274.13 is: 1,911.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.64 : 5,860.01 = 1,274.13 : x
  2. Step 2: Convert to fraction form
    3,906.64/5,860.01 = 1,274.13/x
  3. Step 3: Cross multiply
    3,906.64x = 5,860.01 × 1,274.13
  4. Step 4: Simplify right side
    3,906.64x = 7,466,420.41
  5. Step 5: Solve for x
    x = 7,466,420.41/3,906.64
  6. Step 6: Final answer
    x = 1,911.21

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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.