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Finding the Fourth Proportional to 8,209, 11,328.42 and 4,483

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Solution

The fourth proportional to 8,209, 11,328.42 and 4,483 is: 6,186.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209 : 11,328.42 = 4,483 : x
  2. Step 2: Convert to fraction form
    8,209/11,328.42 = 4,483/x
  3. Step 3: Cross multiply
    8,209x = 11,328.42 × 4,483
  4. Step 4: Simplify right side
    8,209x = 50,785,306.86
  5. Step 5: Solve for x
    x = 50,785,306.86/8,209
  6. Step 6: Final answer
    x = 6,186.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.