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Finding the Fourth Proportional to 8,399.68, 12,599.68 and 2,556

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Solution

The fourth proportional to 8,399.68, 12,599.68 and 2,556 is: 3,834.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,399.68 : 12,599.68 = 2,556 : x
  2. Step 2: Convert to fraction form
    8,399.68/12,599.68 = 2,556/x
  3. Step 3: Cross multiply
    8,399.68x = 12,599.68 × 2,556
  4. Step 4: Simplify right side
    8,399.68x = 32,204,782.08
  5. Step 5: Solve for x
    x = 32,204,782.08/8,399.68
  6. Step 6: Final answer
    x = 3,834.05

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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.