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Finding the Fourth Proportional to 15,189.94, 20,963.56 and 9,220.24

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Solution

The fourth proportional to 15,189.94, 20,963.56 and 9,220.24 is: 12,724.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,189.94 : 20,963.56 = 9,220.24 : x
  2. Step 2: Convert to fraction form
    15,189.94/20,963.56 = 9,220.24/x
  3. Step 3: Cross multiply
    15,189.94x = 20,963.56 × 9,220.24
  4. Step 4: Simplify right side
    15,189.94x = 193,288,949.64
  5. Step 5: Solve for x
    x = 193,288,949.64/15,189.94
  6. Step 6: Final answer
    x = 12,724.80

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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.