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Finding the Fourth Proportional to 4,219, 6,331.38 and 1,483

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Solution

The fourth proportional to 4,219, 6,331.38 and 1,483 is: 2,225.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219 : 6,331.38 = 1,483 : x
  2. Step 2: Convert to fraction form
    4,219/6,331.38 = 1,483/x
  3. Step 3: Cross multiply
    4,219x = 6,331.38 × 1,483
  4. Step 4: Simplify right side
    4,219x = 9,389,436.54
  5. Step 5: Solve for x
    x = 9,389,436.54/4,219
  6. Step 6: Final answer
    x = 2,225.51

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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.