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Finding the Fourth Proportional to 30,383.59, 41,931.72 and 16,774.30

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Solution

The fourth proportional to 30,383.59, 41,931.72 and 16,774.30 is: 23,149.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,383.59 : 41,931.72 = 16,774.30 : x
  2. Step 2: Convert to fraction form
    30,383.59/41,931.72 = 16,774.30/x
  3. Step 3: Cross multiply
    30,383.59x = 41,931.72 × 16,774.30
  4. Step 4: Simplify right side
    30,383.59x = 703,375,250.80
  5. Step 5: Solve for x
    x = 703,375,250.80/30,383.59
  6. Step 6: Final answer
    x = 23,149.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.