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Finding the Fourth Proportional to 1,806.12, 2,490.12 and 1,781.64

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Solution

The fourth proportional to 1,806.12, 2,490.12 and 1,781.64 is: 2,456.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.12 : 2,490.12 = 1,781.64 : x
  2. Step 2: Convert to fraction form
    1,806.12/2,490.12 = 1,781.64/x
  3. Step 3: Cross multiply
    1,806.12x = 2,490.12 × 1,781.64
  4. Step 4: Simplify right side
    1,806.12x = 4,436,497.40
  5. Step 5: Solve for x
    x = 4,436,497.40/1,806.12
  6. Step 6: Final answer
    x = 2,456.37

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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.