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Finding the Fourth Proportional to 2,102.87, 2,902.22 and 1,218.71

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Solution

The fourth proportional to 2,102.87, 2,902.22 and 1,218.71 is: 1,681.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.87 : 2,902.22 = 1,218.71 : x
  2. Step 2: Convert to fraction form
    2,102.87/2,902.22 = 1,218.71/x
  3. Step 3: Cross multiply
    2,102.87x = 2,902.22 × 1,218.71
  4. Step 4: Simplify right side
    2,102.87x = 3,536,970.27
  5. Step 5: Solve for x
    x = 3,536,970.27/2,102.87
  6. Step 6: Final answer
    x = 1,681.97

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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.