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Finding the Fourth Proportional to 20,408.84, 30,613.64 and 5,617.68

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Solution

The fourth proportional to 20,408.84, 30,613.64 and 5,617.68 is: 8,426.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,408.84 : 30,613.64 = 5,617.68 : x
  2. Step 2: Convert to fraction form
    20,408.84/30,613.64 = 5,617.68/x
  3. Step 3: Cross multiply
    20,408.84x = 30,613.64 × 5,617.68
  4. Step 4: Simplify right side
    20,408.84x = 171,977,633.16
  5. Step 5: Solve for x
    x = 171,977,633.16/20,408.84
  6. Step 6: Final answer
    x = 8,426.62

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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.