Home / 5,102.26-7,656.34-2,140.44

Finding the Fourth Proportional to 5,102.26, 7,656.34 and 2,140.44

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Solution

The fourth proportional to 5,102.26, 7,656.34 and 2,140.44 is: 3,211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.26 : 7,656.34 = 2,140.44 : x
  2. Step 2: Convert to fraction form
    5,102.26/7,656.34 = 2,140.44/x
  3. Step 3: Cross multiply
    5,102.26x = 7,656.34 × 2,140.44
  4. Step 4: Simplify right side
    5,102.26x = 16,387,917.25
  5. Step 5: Solve for x
    x = 16,387,917.25/5,102.26
  6. Step 6: Final answer
    x = 3,211.90

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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.