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Finding the Fourth Proportional to 2,049, 3,073.70 and 661.98

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Solution

The fourth proportional to 2,049, 3,073.70 and 661.98 is: 993.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049 : 3,073.70 = 661.98 : x
  2. Step 2: Convert to fraction form
    2,049/3,073.70 = 661.98/x
  3. Step 3: Cross multiply
    2,049x = 3,073.70 × 661.98
  4. Step 4: Simplify right side
    2,049x = 2,034,727.93
  5. Step 5: Solve for x
    x = 2,034,727.93/2,049
  6. Step 6: Final answer
    x = 993.03

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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.