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Finding the Fourth Proportional to 33,311.90, 45,971.02 and 18,205.20

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Solution

The fourth proportional to 33,311.90, 45,971.02 and 18,205.20 is: 25,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,311.90 : 45,971.02 = 18,205.20 : x
  2. Step 2: Convert to fraction form
    33,311.90/45,971.02 = 18,205.20/x
  3. Step 3: Cross multiply
    33,311.90x = 45,971.02 × 18,205.20
  4. Step 4: Simplify right side
    33,311.90x = 836,911,613.30
  5. Step 5: Solve for x
    x = 836,911,613.30/33,311.90
  6. Step 6: Final answer
    x = 25,123.50

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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.