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Finding the Fourth Proportional to 2,776.43, 4,164.66 and 828.65

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Solution

The fourth proportional to 2,776.43, 4,164.66 and 828.65 is: 1,242.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.43 : 4,164.66 = 828.65 : x
  2. Step 2: Convert to fraction form
    2,776.43/4,164.66 = 828.65/x
  3. Step 3: Cross multiply
    2,776.43x = 4,164.66 × 828.65
  4. Step 4: Simplify right side
    2,776.43x = 3,451,045.51
  5. Step 5: Solve for x
    x = 3,451,045.51/2,776.43
  6. Step 6: Final answer
    x = 1,242.98

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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.