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Finding the Fourth Proportional to 3,409.54, 4,705.46 and 1,917.83

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Solution

The fourth proportional to 3,409.54, 4,705.46 and 1,917.83 is: 2,646.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.54 : 4,705.46 = 1,917.83 : x
  2. Step 2: Convert to fraction form
    3,409.54/4,705.46 = 1,917.83/x
  3. Step 3: Cross multiply
    3,409.54x = 4,705.46 × 1,917.83
  4. Step 4: Simplify right side
    3,409.54x = 9,024,272.35
  5. Step 5: Solve for x
    x = 9,024,272.35/3,409.54
  6. Step 6: Final answer
    x = 2,646.77

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1.5x scale

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.