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Finding the Fourth Proportional to 2,607.71, 3,906.36 and 1,219.14

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Solution

The fourth proportional to 2,607.71, 3,906.36 and 1,219.14 is: 1,826.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.71 : 3,906.36 = 1,219.14 : x
  2. Step 2: Convert to fraction form
    2,607.71/3,906.36 = 1,219.14/x
  3. Step 3: Cross multiply
    2,607.71x = 3,906.36 × 1,219.14
  4. Step 4: Simplify right side
    2,607.71x = 4,762,399.73
  5. Step 5: Solve for x
    x = 4,762,399.73/2,607.71
  6. Step 6: Final answer
    x = 1,826.28

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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.