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Finding the Fourth Proportional to 9,180, 12,662.64 and 7,321.44

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Solution

The fourth proportional to 9,180, 12,662.64 and 7,321.44 is: 10,098.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180 : 12,662.64 = 7,321.44 : x
  2. Step 2: Convert to fraction form
    9,180/12,662.64 = 7,321.44/x
  3. Step 3: Cross multiply
    9,180x = 12,662.64 × 7,321.44
  4. Step 4: Simplify right side
    9,180x = 92,708,759.00
  5. Step 5: Solve for x
    x = 92,708,759.00/9,180
  6. Step 6: Final answer
    x = 10,098.99

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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.