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Finding the Fourth Proportional to 30,595.78, 45,892.71 and 8,408.97

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Solution

The fourth proportional to 30,595.78, 45,892.71 and 8,408.97 is: 12,613.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,595.78 : 45,892.71 = 8,408.97 : x
  2. Step 2: Convert to fraction form
    30,595.78/45,892.71 = 8,408.97/x
  3. Step 3: Cross multiply
    30,595.78x = 45,892.71 × 8,408.97
  4. Step 4: Simplify right side
    30,595.78x = 385,910,392.55
  5. Step 5: Solve for x
    x = 385,910,392.55/30,595.78
  6. Step 6: Final answer
    x = 12,613.19

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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.