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Finding the Fourth Proportional to 2,811.18, 4,215.78 and 836.22

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Solution

The fourth proportional to 2,811.18, 4,215.78 and 836.22 is: 1,254.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.18 : 4,215.78 = 836.22 : x
  2. Step 2: Convert to fraction form
    2,811.18/4,215.78 = 836.22/x
  3. Step 3: Cross multiply
    2,811.18x = 4,215.78 × 836.22
  4. Step 4: Simplify right side
    2,811.18x = 3,525,319.55
  5. Step 5: Solve for x
    x = 3,525,319.55/2,811.18
  6. Step 6: Final answer
    x = 1,254.04

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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.