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Finding the Fourth Proportional to 2,591.10, 3,888 and 2,451.69

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Solution

The fourth proportional to 2,591.10, 3,888 and 2,451.69 is: 3,678.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.10 : 3,888 = 2,451.69 : x
  2. Step 2: Convert to fraction form
    2,591.10/3,888 = 2,451.69/x
  3. Step 3: Cross multiply
    2,591.10x = 3,888 × 2,451.69
  4. Step 4: Simplify right side
    2,591.10x = 9,532,170.72
  5. Step 5: Solve for x
    x = 9,532,170.72/2,591.10
  6. Step 6: Final answer
    x = 3,678.81

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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.