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Finding the Fourth Proportional to 3,438, 5,155.46 and 1,463.56

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Solution

The fourth proportional to 3,438, 5,155.46 and 1,463.56 is: 2,194.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438 : 5,155.46 = 1,463.56 : x
  2. Step 2: Convert to fraction form
    3,438/5,155.46 = 1,463.56/x
  3. Step 3: Cross multiply
    3,438x = 5,155.46 × 1,463.56
  4. Step 4: Simplify right side
    3,438x = 7,545,325.04
  5. Step 5: Solve for x
    x = 7,545,325.04/3,438
  6. Step 6: Final answer
    x = 2,194.68

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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.