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Finding the Fourth Proportional to 9,489.97, 14,243.63 and 4,813.20

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Solution

The fourth proportional to 9,489.97, 14,243.63 and 4,813.20 is: 7,224.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.97 : 14,243.63 = 4,813.20 : x
  2. Step 2: Convert to fraction form
    9,489.97/14,243.63 = 4,813.20/x
  3. Step 3: Cross multiply
    9,489.97x = 14,243.63 × 4,813.20
  4. Step 4: Simplify right side
    9,489.97x = 68,557,469.45
  5. Step 5: Solve for x
    x = 68,557,469.45/9,489.97
  6. Step 6: Final answer
    x = 7,224.21

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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.