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Finding the Fourth Proportional to 2,709.87, 4,061.16 and 1,976.01

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Solution

The fourth proportional to 2,709.87, 4,061.16 and 1,976.01 is: 2,961.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.87 : 4,061.16 = 1,976.01 : x
  2. Step 2: Convert to fraction form
    2,709.87/4,061.16 = 1,976.01/x
  3. Step 3: Cross multiply
    2,709.87x = 4,061.16 × 1,976.01
  4. Step 4: Simplify right side
    2,709.87x = 8,024,892.77
  5. Step 5: Solve for x
    x = 8,024,892.77/2,709.87
  6. Step 6: Final answer
    x = 2,961.36

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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.