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Finding the Fourth Proportional to 2,848, 3,930.24 and 1,606

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Solution

The fourth proportional to 2,848, 3,930.24 and 1,606 is: 2,216.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848 : 3,930.24 = 1,606 : x
  2. Step 2: Convert to fraction form
    2,848/3,930.24 = 1,606/x
  3. Step 3: Cross multiply
    2,848x = 3,930.24 × 1,606
  4. Step 4: Simplify right side
    2,848x = 6,311,965.44
  5. Step 5: Solve for x
    x = 6,311,965.44/2,848
  6. Step 6: Final answer
    x = 2,216.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.