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Finding the Fourth Proportional to 2,805.99, 4,209 and 1,340.70

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Solution

The fourth proportional to 2,805.99, 4,209 and 1,340.70 is: 2,011.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.99 : 4,209 = 1,340.70 : x
  2. Step 2: Convert to fraction form
    2,805.99/4,209 = 1,340.70/x
  3. Step 3: Cross multiply
    2,805.99x = 4,209 × 1,340.70
  4. Step 4: Simplify right side
    2,805.99x = 5,643,006.30
  5. Step 5: Solve for x
    x = 5,643,006.30/2,805.99
  6. Step 6: Final answer
    x = 2,011.06

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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.