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Finding the Fourth Proportional to 30,939.80, 46,408.88 and 21,442.84

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Solution

The fourth proportional to 30,939.80, 46,408.88 and 21,442.84 is: 32,163.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,939.80 : 46,408.88 = 21,442.84 : x
  2. Step 2: Convert to fraction form
    30,939.80/46,408.88 = 21,442.84/x
  3. Step 3: Cross multiply
    30,939.80x = 46,408.88 × 21,442.84
  4. Step 4: Simplify right side
    30,939.80x = 995,138,188.42
  5. Step 5: Solve for x
    x = 995,138,188.42/30,939.80
  6. Step 6: Final answer
    x = 32,163.69

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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.