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Finding the Fourth Proportional to 3,409.92, 4,714.07 and 3,378.74

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Solution

The fourth proportional to 3,409.92, 4,714.07 and 3,378.74 is: 4,670.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.92 : 4,714.07 = 3,378.74 : x
  2. Step 2: Convert to fraction form
    3,409.92/4,714.07 = 3,378.74/x
  3. Step 3: Cross multiply
    3,409.92x = 4,714.07 × 3,378.74
  4. Step 4: Simplify right side
    3,409.92x = 15,927,608.08
  5. Step 5: Solve for x
    x = 15,927,608.08/3,409.92
  6. Step 6: Final answer
    x = 4,670.96

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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.