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Finding the Fourth Proportional to 2,591.96, 3,891 and 2,186.24

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Solution

The fourth proportional to 2,591.96, 3,891 and 2,186.24 is: 3,281.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.96 : 3,891 = 2,186.24 : x
  2. Step 2: Convert to fraction form
    2,591.96/3,891 = 2,186.24/x
  3. Step 3: Cross multiply
    2,591.96x = 3,891 × 2,186.24
  4. Step 4: Simplify right side
    2,591.96x = 8,506,659.84
  5. Step 5: Solve for x
    x = 8,506,659.84/2,591.96
  6. Step 6: Final answer
    x = 3,281.94

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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.