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Finding the Fourth Proportional to 9,481.50, 13,040.73 and 8,300.52

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Solution

The fourth proportional to 9,481.50, 13,040.73 and 8,300.52 is: 11,416.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.50 : 13,040.73 = 8,300.52 : x
  2. Step 2: Convert to fraction form
    9,481.50/13,040.73 = 8,300.52/x
  3. Step 3: Cross multiply
    9,481.50x = 13,040.73 × 8,300.52
  4. Step 4: Simplify right side
    9,481.50x = 108,244,840.18
  5. Step 5: Solve for x
    x = 108,244,840.18/9,481.50
  6. Step 6: Final answer
    x = 11,416.43

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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.