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Finding the Fourth Proportional to 9,012.35, 13,520.96 and 8,144.84

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Solution

The fourth proportional to 9,012.35, 13,520.96 and 8,144.84 is: 12,219.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,012.35 : 13,520.96 = 8,144.84 : x
  2. Step 2: Convert to fraction form
    9,012.35/13,520.96 = 8,144.84/x
  3. Step 3: Cross multiply
    9,012.35x = 13,520.96 × 8,144.84
  4. Step 4: Simplify right side
    9,012.35x = 110,126,079.47
  5. Step 5: Solve for x
    x = 110,126,079.47/9,012.35
  6. Step 6: Final answer
    x = 12,219.46

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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.