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Finding the Fourth Proportional to 5,145.74, 7,720.77 and 3,297.86

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Solution

The fourth proportional to 5,145.74, 7,720.77 and 3,297.86 is: 4,948.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.74 : 7,720.77 = 3,297.86 : x
  2. Step 2: Convert to fraction form
    5,145.74/7,720.77 = 3,297.86/x
  3. Step 3: Cross multiply
    5,145.74x = 7,720.77 × 3,297.86
  4. Step 4: Simplify right side
    5,145.74x = 25,462,018.55
  5. Step 5: Solve for x
    x = 25,462,018.55/5,145.74
  6. Step 6: Final answer
    x = 4,948.17

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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.