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Finding the Fourth Proportional to 3,739.84, 5,609.22 and 1,142.08

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Solution

The fourth proportional to 3,739.84, 5,609.22 and 1,142.08 is: 1,712.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739.84 : 5,609.22 = 1,142.08 : x
  2. Step 2: Convert to fraction form
    3,739.84/5,609.22 = 1,142.08/x
  3. Step 3: Cross multiply
    3,739.84x = 5,609.22 × 1,142.08
  4. Step 4: Simplify right side
    3,739.84x = 6,406,177.98
  5. Step 5: Solve for x
    x = 6,406,177.98/3,739.84
  6. Step 6: Final answer
    x = 1,712.96

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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.