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Finding the Fourth Proportional to 3,489.48, 5,235.13 and 2,009.61

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Solution

The fourth proportional to 3,489.48, 5,235.13 and 2,009.61 is: 3,014.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.48 : 5,235.13 = 2,009.61 : x
  2. Step 2: Convert to fraction form
    3,489.48/5,235.13 = 2,009.61/x
  3. Step 3: Cross multiply
    3,489.48x = 5,235.13 × 2,009.61
  4. Step 4: Simplify right side
    3,489.48x = 10,520,572.11
  5. Step 5: Solve for x
    x = 10,520,572.11/3,489.48
  6. Step 6: Final answer
    x = 3,014.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.