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Finding the Fourth Proportional to 13,766.54, 18,997.41 and 7,478.90

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Solution

The fourth proportional to 13,766.54, 18,997.41 and 7,478.90 is: 10,320.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,766.54 : 18,997.41 = 7,478.90 : x
  2. Step 2: Convert to fraction form
    13,766.54/18,997.41 = 7,478.90/x
  3. Step 3: Cross multiply
    13,766.54x = 18,997.41 × 7,478.90
  4. Step 4: Simplify right side
    13,766.54x = 142,079,729.65
  5. Step 5: Solve for x
    x = 142,079,729.65/13,766.54
  6. Step 6: Final answer
    x = 10,320.66

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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.