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Finding the Fourth Proportional to 8,616.76, 12,924.42 and 3,421.24

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Solution

The fourth proportional to 8,616.76, 12,924.42 and 3,421.24 is: 5,131.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,616.76 : 12,924.42 = 3,421.24 : x
  2. Step 2: Convert to fraction form
    8,616.76/12,924.42 = 3,421.24/x
  3. Step 3: Cross multiply
    8,616.76x = 12,924.42 × 3,421.24
  4. Step 4: Simplify right side
    8,616.76x = 44,217,542.68
  5. Step 5: Solve for x
    x = 44,217,542.68/8,616.76
  6. Step 6: Final answer
    x = 5,131.57

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1.5x scale

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.