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Finding the Fourth Proportional to 2,786.66, 4,181.80 and 1,206.92

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Solution

The fourth proportional to 2,786.66, 4,181.80 and 1,206.92 is: 1,811.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.66 : 4,181.80 = 1,206.92 : x
  2. Step 2: Convert to fraction form
    2,786.66/4,181.80 = 1,206.92/x
  3. Step 3: Cross multiply
    2,786.66x = 4,181.80 × 1,206.92
  4. Step 4: Simplify right side
    2,786.66x = 5,047,095.04
  5. Step 5: Solve for x
    x = 5,047,095.04/2,786.66
  6. Step 6: Final answer
    x = 1,811.16

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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.