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Finding the Fourth Proportional to 2,781.76, 3,837.02 and 1,785.46

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Solution

The fourth proportional to 2,781.76, 3,837.02 and 1,785.46 is: 2,462.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.76 : 3,837.02 = 1,785.46 : x
  2. Step 2: Convert to fraction form
    2,781.76/3,837.02 = 1,785.46/x
  3. Step 3: Cross multiply
    2,781.76x = 3,837.02 × 1,785.46
  4. Step 4: Simplify right side
    2,781.76x = 6,850,845.73
  5. Step 5: Solve for x
    x = 6,850,845.73/2,781.76
  6. Step 6: Final answer
    x = 2,462.77

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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.