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Finding the Fourth Proportional to 3,409.08, 4,707.90 and 3,402.60

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Solution

The fourth proportional to 3,409.08, 4,707.90 and 3,402.60 is: 4,698.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.08 : 4,707.90 = 3,402.60 : x
  2. Step 2: Convert to fraction form
    3,409.08/4,707.90 = 3,402.60/x
  3. Step 3: Cross multiply
    3,409.08x = 4,707.90 × 3,402.60
  4. Step 4: Simplify right side
    3,409.08x = 16,019,100.54
  5. Step 5: Solve for x
    x = 16,019,100.54/3,409.08
  6. Step 6: Final answer
    x = 4,698.95

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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.