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Finding the Fourth Proportional to 4,991.85, 7,489.14 and 2,070.15

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Solution

The fourth proportional to 4,991.85, 7,489.14 and 2,070.15 is: 3,105.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991.85 : 7,489.14 = 2,070.15 : x
  2. Step 2: Convert to fraction form
    4,991.85/7,489.14 = 2,070.15/x
  3. Step 3: Cross multiply
    4,991.85x = 7,489.14 × 2,070.15
  4. Step 4: Simplify right side
    4,991.85x = 15,503,632.82
  5. Step 5: Solve for x
    x = 15,503,632.82/4,991.85
  6. Step 6: Final answer
    x = 3,105.79

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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.