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Finding the Fourth Proportional to 2,747.07, 4,120.05 and 992.02

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Solution

The fourth proportional to 2,747.07, 4,120.05 and 992.02 is: 1,487.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.07 : 4,120.05 = 992.02 : x
  2. Step 2: Convert to fraction form
    2,747.07/4,120.05 = 992.02/x
  3. Step 3: Cross multiply
    2,747.07x = 4,120.05 × 992.02
  4. Step 4: Simplify right side
    2,747.07x = 4,087,172.00
  5. Step 5: Solve for x
    x = 4,087,172.00/2,747.07
  6. Step 6: Final answer
    x = 1,487.83

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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.