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Finding the Fourth Proportional to 8,242.83, 12,366 and 5,603.85

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Solution

The fourth proportional to 8,242.83, 12,366 and 5,603.85 is: 8,406.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.83 : 12,366 = 5,603.85 : x
  2. Step 2: Convert to fraction form
    8,242.83/12,366 = 5,603.85/x
  3. Step 3: Cross multiply
    8,242.83x = 12,366 × 5,603.85
  4. Step 4: Simplify right side
    8,242.83x = 69,297,209.10
  5. Step 5: Solve for x
    x = 69,297,209.10/8,242.83
  6. Step 6: Final answer
    x = 8,406.97

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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.