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Finding the Fourth Proportional to 3,409.60, 4,702.80 and 2,399.68

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Solution

The fourth proportional to 3,409.60, 4,702.80 and 2,399.68 is: 3,309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.60 : 4,702.80 = 2,399.68 : x
  2. Step 2: Convert to fraction form
    3,409.60/4,702.80 = 2,399.68/x
  3. Step 3: Cross multiply
    3,409.60x = 4,702.80 × 2,399.68
  4. Step 4: Simplify right side
    3,409.60x = 11,285,215.10
  5. Step 5: Solve for x
    x = 11,285,215.10/3,409.60
  6. Step 6: Final answer
    x = 3,309.84

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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.