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Finding the Fourth Proportional to 3,782.72, 5,674.16 and 1,591.47

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Solution

The fourth proportional to 3,782.72, 5,674.16 and 1,591.47 is: 2,387.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.72 : 5,674.16 = 1,591.47 : x
  2. Step 2: Convert to fraction form
    3,782.72/5,674.16 = 1,591.47/x
  3. Step 3: Cross multiply
    3,782.72x = 5,674.16 × 1,591.47
  4. Step 4: Simplify right side
    3,782.72x = 9,030,259.39
  5. Step 5: Solve for x
    x = 9,030,259.39/3,782.72
  6. Step 6: Final answer
    x = 2,387.24

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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.