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Finding the Fourth Proportional to 2,007.99, 2,787.72 and 1,947.85

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Solution

The fourth proportional to 2,007.99, 2,787.72 and 1,947.85 is: 2,704.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.99 : 2,787.72 = 1,947.85 : x
  2. Step 2: Convert to fraction form
    2,007.99/2,787.72 = 1,947.85/x
  3. Step 3: Cross multiply
    2,007.99x = 2,787.72 × 1,947.85
  4. Step 4: Simplify right side
    2,007.99x = 5,430,046.13
  5. Step 5: Solve for x
    x = 5,430,046.13/2,007.99
  6. Step 6: Final answer
    x = 2,704.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.