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Finding the Fourth Proportional to 3,555, 5,334.42 and 1,731

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Solution

The fourth proportional to 3,555, 5,334.42 and 1,731 is: 2,597.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,555 : 5,334.42 = 1,731 : x
  2. Step 2: Convert to fraction form
    3,555/5,334.42 = 1,731/x
  3. Step 3: Cross multiply
    3,555x = 5,334.42 × 1,731
  4. Step 4: Simplify right side
    3,555x = 9,233,881.02
  5. Step 5: Solve for x
    x = 9,233,881.02/3,555
  6. Step 6: Final answer
    x = 2,597.43

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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.