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Finding the Fourth Proportional to 3,435.78, 4,741.39 and 1,863.90

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Solution

The fourth proportional to 3,435.78, 4,741.39 and 1,863.90 is: 2,572.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.78 : 4,741.39 = 1,863.90 : x
  2. Step 2: Convert to fraction form
    3,435.78/4,741.39 = 1,863.90/x
  3. Step 3: Cross multiply
    3,435.78x = 4,741.39 × 1,863.90
  4. Step 4: Simplify right side
    3,435.78x = 8,837,476.82
  5. Step 5: Solve for x
    x = 8,837,476.82/3,435.78
  6. Step 6: Final answer
    x = 2,572.19

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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.