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Finding the Fourth Proportional to 3,133.74, 4,696.56 and 1,490.79

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Solution

The fourth proportional to 3,133.74, 4,696.56 and 1,490.79 is: 2,234.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.74 : 4,696.56 = 1,490.79 : x
  2. Step 2: Convert to fraction form
    3,133.74/4,696.56 = 1,490.79/x
  3. Step 3: Cross multiply
    3,133.74x = 4,696.56 × 1,490.79
  4. Step 4: Simplify right side
    3,133.74x = 7,001,584.68
  5. Step 5: Solve for x
    x = 7,001,584.68/3,133.74
  6. Step 6: Final answer
    x = 2,234.26

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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.