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Finding the Fourth Proportional to 3,238.50, 4,858.56 and 930

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Solution

The fourth proportional to 3,238.50, 4,858.56 and 930 is: 1,395.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.50 : 4,858.56 = 930 : x
  2. Step 2: Convert to fraction form
    3,238.50/4,858.56 = 930/x
  3. Step 3: Cross multiply
    3,238.50x = 4,858.56 × 930
  4. Step 4: Simplify right side
    3,238.50x = 4,518,460.80
  5. Step 5: Solve for x
    x = 4,518,460.80/3,238.50
  6. Step 6: Final answer
    x = 1,395.23

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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.