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Finding the Fourth Proportional to 3,409.82, 4,705.52 and 1,917.74

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Solution

The fourth proportional to 3,409.82, 4,705.52 and 1,917.74 is: 2,646.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.82 : 4,705.52 = 1,917.74 : x
  2. Step 2: Convert to fraction form
    3,409.82/4,705.52 = 1,917.74/x
  3. Step 3: Cross multiply
    3,409.82x = 4,705.52 × 1,917.74
  4. Step 4: Simplify right side
    3,409.82x = 9,023,963.92
  5. Step 5: Solve for x
    x = 9,023,963.92/3,409.82
  6. Step 6: Final answer
    x = 2,646.46

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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.