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Finding the Fourth Proportional to 2,811.69, 4,216.80 and 836.79

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Solution

The fourth proportional to 2,811.69, 4,216.80 and 836.79 is: 1,254.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.69 : 4,216.80 = 836.79 : x
  2. Step 2: Convert to fraction form
    2,811.69/4,216.80 = 836.79/x
  3. Step 3: Cross multiply
    2,811.69x = 4,216.80 × 836.79
  4. Step 4: Simplify right side
    2,811.69x = 3,528,558.69
  5. Step 5: Solve for x
    x = 3,528,558.69/2,811.69
  6. Step 6: Final answer
    x = 1,254.96

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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.