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Finding the Fourth Proportional to 5,297.12, 7,939.64 and 2,519.86

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Solution

The fourth proportional to 5,297.12, 7,939.64 and 2,519.86 is: 3,776.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.12 : 7,939.64 = 2,519.86 : x
  2. Step 2: Convert to fraction form
    5,297.12/7,939.64 = 2,519.86/x
  3. Step 3: Cross multiply
    5,297.12x = 7,939.64 × 2,519.86
  4. Step 4: Simplify right side
    5,297.12x = 20,006,781.25
  5. Step 5: Solve for x
    x = 20,006,781.25/5,297.12
  6. Step 6: Final answer
    x = 3,776.92

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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.