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Finding the Fourth Proportional to 2,811.67, 4,218.32 and 864.16

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Solution

The fourth proportional to 2,811.67, 4,218.32 and 864.16 is: 1,296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.67 : 4,218.32 = 864.16 : x
  2. Step 2: Convert to fraction form
    2,811.67/4,218.32 = 864.16/x
  3. Step 3: Cross multiply
    2,811.67x = 4,218.32 × 864.16
  4. Step 4: Simplify right side
    2,811.67x = 3,645,295.03
  5. Step 5: Solve for x
    x = 3,645,295.03/2,811.67
  6. Step 6: Final answer
    x = 1,296.49

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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.