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Finding the Fourth Proportional to 4,906.78, 7,361.39 and 1,788.49

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Solution

The fourth proportional to 4,906.78, 7,361.39 and 1,788.49 is: 2,683.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.78 : 7,361.39 = 1,788.49 : x
  2. Step 2: Convert to fraction form
    4,906.78/7,361.39 = 1,788.49/x
  3. Step 3: Cross multiply
    4,906.78x = 7,361.39 × 1,788.49
  4. Step 4: Simplify right side
    4,906.78x = 13,165,726.65
  5. Step 5: Solve for x
    x = 13,165,726.65/4,906.78
  6. Step 6: Final answer
    x = 2,683.17

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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.