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Finding the Fourth Proportional to 9,151.20, 13,705.20 and 6,213.60

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Solution

The fourth proportional to 9,151.20, 13,705.20 and 6,213.60 is: 9,305.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.20 : 13,705.20 = 6,213.60 : x
  2. Step 2: Convert to fraction form
    9,151.20/13,705.20 = 6,213.60/x
  3. Step 3: Cross multiply
    9,151.20x = 13,705.20 × 6,213.60
  4. Step 4: Simplify right side
    9,151.20x = 85,158,630.72
  5. Step 5: Solve for x
    x = 85,158,630.72/9,151.20
  6. Step 6: Final answer
    x = 9,305.73

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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.