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Finding the Fourth Proportional to 3,437.87, 5,156.81 and 1,976.09

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Solution

The fourth proportional to 3,437.87, 5,156.81 and 1,976.09 is: 2,964.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.87 : 5,156.81 = 1,976.09 : x
  2. Step 2: Convert to fraction form
    3,437.87/5,156.81 = 1,976.09/x
  3. Step 3: Cross multiply
    3,437.87x = 5,156.81 × 1,976.09
  4. Step 4: Simplify right side
    3,437.87x = 10,190,285.01
  5. Step 5: Solve for x
    x = 10,190,285.01/3,437.87
  6. Step 6: Final answer
    x = 2,964.13

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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.