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Finding the Fourth Proportional to 5,149.22, 7,723.84 and 2,070.50

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Solution

The fourth proportional to 5,149.22, 7,723.84 and 2,070.50 is: 3,105.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.22 : 7,723.84 = 2,070.50 : x
  2. Step 2: Convert to fraction form
    5,149.22/7,723.84 = 2,070.50/x
  3. Step 3: Cross multiply
    5,149.22x = 7,723.84 × 2,070.50
  4. Step 4: Simplify right side
    5,149.22x = 15,992,210.72
  5. Step 5: Solve for x
    x = 15,992,210.72/5,149.22
  6. Step 6: Final answer
    x = 3,105.75

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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.