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Finding the Fourth Proportional to 3,164.92, 4,744 and 1,606.08

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Solution

The fourth proportional to 3,164.92, 4,744 and 1,606.08 is: 2,407.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.92 : 4,744 = 1,606.08 : x
  2. Step 2: Convert to fraction form
    3,164.92/4,744 = 1,606.08/x
  3. Step 3: Cross multiply
    3,164.92x = 4,744 × 1,606.08
  4. Step 4: Simplify right side
    3,164.92x = 7,619,243.52
  5. Step 5: Solve for x
    x = 7,619,243.52/3,164.92
  6. Step 6: Final answer
    x = 2,407.40

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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.