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Finding the Fourth Proportional to 2,811.66, 4,216.17 and 836.56

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Solution

The fourth proportional to 2,811.66, 4,216.17 and 836.56 is: 1,254.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.66 : 4,216.17 = 836.56 : x
  2. Step 2: Convert to fraction form
    2,811.66/4,216.17 = 836.56/x
  3. Step 3: Cross multiply
    2,811.66x = 4,216.17 × 836.56
  4. Step 4: Simplify right side
    2,811.66x = 3,527,053.91
  5. Step 5: Solve for x
    x = 3,527,053.91/2,811.66
  6. Step 6: Final answer
    x = 1,254.44

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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.