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Finding the Fourth Proportional to 3,490.01, 4,809.06 and 3,243.90

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Solution

The fourth proportional to 3,490.01, 4,809.06 and 3,243.90 is: 4,469.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.01 : 4,809.06 = 3,243.90 : x
  2. Step 2: Convert to fraction form
    3,490.01/4,809.06 = 3,243.90/x
  3. Step 3: Cross multiply
    3,490.01x = 4,809.06 × 3,243.90
  4. Step 4: Simplify right side
    3,490.01x = 15,600,109.73
  5. Step 5: Solve for x
    x = 15,600,109.73/3,490.01
  6. Step 6: Final answer
    x = 4,469.94

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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.