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Finding the Fourth Proportional to 8,404.96, 12,608.56 and 2,859.84

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Solution

The fourth proportional to 8,404.96, 12,608.56 and 2,859.84 is: 4,290.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.96 : 12,608.56 = 2,859.84 : x
  2. Step 2: Convert to fraction form
    8,404.96/12,608.56 = 2,859.84/x
  3. Step 3: Cross multiply
    8,404.96x = 12,608.56 × 2,859.84
  4. Step 4: Simplify right side
    8,404.96x = 36,058,464.23
  5. Step 5: Solve for x
    x = 36,058,464.23/8,404.96
  6. Step 6: Final answer
    x = 4,290.14

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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.