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Finding the Fourth Proportional to 9,245.28, 12,739.92 and 7,845.60

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Solution

The fourth proportional to 9,245.28, 12,739.92 and 7,845.60 is: 10,811.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.28 : 12,739.92 = 7,845.60 : x
  2. Step 2: Convert to fraction form
    9,245.28/12,739.92 = 7,845.60/x
  3. Step 3: Cross multiply
    9,245.28x = 12,739.92 × 7,845.60
  4. Step 4: Simplify right side
    9,245.28x = 99,952,316.35
  5. Step 5: Solve for x
    x = 99,952,316.35/9,245.28
  6. Step 6: Final answer
    x = 10,811.17

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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.