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Finding the Fourth Proportional to 2,786.99, 4,180.48 and 2,084.92

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Solution

The fourth proportional to 2,786.99, 4,180.48 and 2,084.92 is: 3,127.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.99 : 4,180.48 = 2,084.92 : x
  2. Step 2: Convert to fraction form
    2,786.99/4,180.48 = 2,084.92/x
  3. Step 3: Cross multiply
    2,786.99x = 4,180.48 × 2,084.92
  4. Step 4: Simplify right side
    2,786.99x = 8,715,966.36
  5. Step 5: Solve for x
    x = 8,715,966.36/2,786.99
  6. Step 6: Final answer
    x = 3,127.38

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1.5x scale

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.