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Finding the Fourth Proportional to 2,811.92, 3,881.70 and 1,817.69

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Solution

The fourth proportional to 2,811.92, 3,881.70 and 1,817.69 is: 2,509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.92 : 3,881.70 = 1,817.69 : x
  2. Step 2: Convert to fraction form
    2,811.92/3,881.70 = 1,817.69/x
  3. Step 3: Cross multiply
    2,811.92x = 3,881.70 × 1,817.69
  4. Step 4: Simplify right side
    2,811.92x = 7,055,698.78
  5. Step 5: Solve for x
    x = 7,055,698.78/2,811.92
  6. Step 6: Final answer
    x = 2,509.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.