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Finding the Fourth Proportional to 3,945.91, 5,914.76 and 1,604.91

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Solution

The fourth proportional to 3,945.91, 5,914.76 and 1,604.91 is: 2,405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,945.91 : 5,914.76 = 1,604.91 : x
  2. Step 2: Convert to fraction form
    3,945.91/5,914.76 = 1,604.91/x
  3. Step 3: Cross multiply
    3,945.91x = 5,914.76 × 1,604.91
  4. Step 4: Simplify right side
    3,945.91x = 9,492,657.47
  5. Step 5: Solve for x
    x = 9,492,657.47/3,945.91
  6. Step 6: Final answer
    x = 2,405.70

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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.