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Finding the Fourth Proportional to 8,509.32, 12,767.22 and 3,829.14

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Solution

The fourth proportional to 8,509.32, 12,767.22 and 3,829.14 is: 5,745.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.32 : 12,767.22 = 3,829.14 : x
  2. Step 2: Convert to fraction form
    8,509.32/12,767.22 = 3,829.14/x
  3. Step 3: Cross multiply
    8,509.32x = 12,767.22 × 3,829.14
  4. Step 4: Simplify right side
    8,509.32x = 48,887,472.79
  5. Step 5: Solve for x
    x = 48,887,472.79/8,509.32
  6. Step 6: Final answer
    x = 5,745.17

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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.