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Finding the Fourth Proportional to 3,534.92, 4,879.80 and 2,209.40

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Solution

The fourth proportional to 3,534.92, 4,879.80 and 2,209.40 is: 3,049.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.92 : 4,879.80 = 2,209.40 : x
  2. Step 2: Convert to fraction form
    3,534.92/4,879.80 = 2,209.40/x
  3. Step 3: Cross multiply
    3,534.92x = 4,879.80 × 2,209.40
  4. Step 4: Simplify right side
    3,534.92x = 10,781,430.12
  5. Step 5: Solve for x
    x = 10,781,430.12/3,534.92
  6. Step 6: Final answer
    x = 3,049.98

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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.