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Finding the Fourth Proportional to 3,409.72, 4,705.16 and 1,917.34

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Solution

The fourth proportional to 3,409.72, 4,705.16 and 1,917.34 is: 2,645.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.72 : 4,705.16 = 1,917.34 : x
  2. Step 2: Convert to fraction form
    3,409.72/4,705.16 = 1,917.34/x
  3. Step 3: Cross multiply
    3,409.72x = 4,705.16 × 1,917.34
  4. Step 4: Simplify right side
    3,409.72x = 9,021,370.12
  5. Step 5: Solve for x
    x = 9,021,370.12/3,409.72
  6. Step 6: Final answer
    x = 2,645.78

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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.