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Finding the Fourth Proportional to 30,638.85, 45,952.80 and 8,149.65

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Solution

The fourth proportional to 30,638.85, 45,952.80 and 8,149.65 is: 12,223.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,638.85 : 45,952.80 = 8,149.65 : x
  2. Step 2: Convert to fraction form
    30,638.85/45,952.80 = 8,149.65/x
  3. Step 3: Cross multiply
    30,638.85x = 45,952.80 × 8,149.65
  4. Step 4: Simplify right side
    30,638.85x = 374,499,236.52
  5. Step 5: Solve for x
    x = 374,499,236.52/30,638.85
  6. Step 6: Final answer
    x = 12,223.02

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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.