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Finding the Fourth Proportional to 2,811.78, 4,216.93 and 836.87

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Solution

The fourth proportional to 2,811.78, 4,216.93 and 836.87 is: 1,255.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.78 : 4,216.93 = 836.87 : x
  2. Step 2: Convert to fraction form
    2,811.78/4,216.93 = 836.87/x
  3. Step 3: Cross multiply
    2,811.78x = 4,216.93 × 836.87
  4. Step 4: Simplify right side
    2,811.78x = 3,529,022.21
  5. Step 5: Solve for x
    x = 3,529,022.21/2,811.78
  6. Step 6: Final answer
    x = 1,255.08

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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.