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Finding the Fourth Proportional to 2,659.91, 3,989.93 and 811.08

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Solution

The fourth proportional to 2,659.91, 3,989.93 and 811.08 is: 1,216.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.91 : 3,989.93 = 811.08 : x
  2. Step 2: Convert to fraction form
    2,659.91/3,989.93 = 811.08/x
  3. Step 3: Cross multiply
    2,659.91x = 3,989.93 × 811.08
  4. Step 4: Simplify right side
    2,659.91x = 3,236,148.37
  5. Step 5: Solve for x
    x = 3,236,148.37/2,659.91
  6. Step 6: Final answer
    x = 1,216.64

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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.