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Finding the Fourth Proportional to 8,399, 12,599.02 and 2,556.04

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Solution

The fourth proportional to 8,399, 12,599.02 and 2,556.04 is: 3,834.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,399 : 12,599.02 = 2,556.04 : x
  2. Step 2: Convert to fraction form
    8,399/12,599.02 = 2,556.04/x
  3. Step 3: Cross multiply
    8,399x = 12,599.02 × 2,556.04
  4. Step 4: Simplify right side
    8,399x = 32,203,599.08
  5. Step 5: Solve for x
    x = 32,203,599.08/8,399
  6. Step 6: Final answer
    x = 3,834.22

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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.