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Finding the Fourth Proportional to 7,470, 11,206.80 and 3,366

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Solution

The fourth proportional to 7,470, 11,206.80 and 3,366 is: 5,049.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470 : 11,206.80 = 3,366 : x
  2. Step 2: Convert to fraction form
    7,470/11,206.80 = 3,366/x
  3. Step 3: Cross multiply
    7,470x = 11,206.80 × 3,366
  4. Step 4: Simplify right side
    7,470x = 37,722,088.80
  5. Step 5: Solve for x
    x = 37,722,088.80/7,470
  6. Step 6: Final answer
    x = 5,049.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.