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Finding the Fourth Proportional to 2,811.94, 4,218.39 and 864.10

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Solution

The fourth proportional to 2,811.94, 4,218.39 and 864.10 is: 1,296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.94 : 4,218.39 = 864.10 : x
  2. Step 2: Convert to fraction form
    2,811.94/4,218.39 = 864.10/x
  3. Step 3: Cross multiply
    2,811.94x = 4,218.39 × 864.10
  4. Step 4: Simplify right side
    2,811.94x = 3,645,110.80
  5. Step 5: Solve for x
    x = 3,645,110.80/2,811.94
  6. Step 6: Final answer
    x = 1,296.30

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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.