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Finding the Fourth Proportional to 3,606.31, 5,409.47 and 1,659.88

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Solution

The fourth proportional to 3,606.31, 5,409.47 and 1,659.88 is: 2,489.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.31 : 5,409.47 = 1,659.88 : x
  2. Step 2: Convert to fraction form
    3,606.31/5,409.47 = 1,659.88/x
  3. Step 3: Cross multiply
    3,606.31x = 5,409.47 × 1,659.88
  4. Step 4: Simplify right side
    3,606.31x = 8,979,071.06
  5. Step 5: Solve for x
    x = 8,979,071.06/3,606.31
  6. Step 6: Final answer
    x = 2,489.82

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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.