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Finding the Fourth Proportional to 2,783.78, 4,175.76 and 836.09

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Solution

The fourth proportional to 2,783.78, 4,175.76 and 836.09 is: 1,254.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.78 : 4,175.76 = 836.09 : x
  2. Step 2: Convert to fraction form
    2,783.78/4,175.76 = 836.09/x
  3. Step 3: Cross multiply
    2,783.78x = 4,175.76 × 836.09
  4. Step 4: Simplify right side
    2,783.78x = 3,491,311.18
  5. Step 5: Solve for x
    x = 3,491,311.18/2,783.78
  6. Step 6: Final answer
    x = 1,254.16

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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.