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Finding the Fourth Proportional to 2,787, 3,846.40 and 1,608.06

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Solution

The fourth proportional to 2,787, 3,846.40 and 1,608.06 is: 2,219.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787 : 3,846.40 = 1,608.06 : x
  2. Step 2: Convert to fraction form
    2,787/3,846.40 = 1,608.06/x
  3. Step 3: Cross multiply
    2,787x = 3,846.40 × 1,608.06
  4. Step 4: Simplify right side
    2,787x = 6,185,241.98
  5. Step 5: Solve for x
    x = 6,185,241.98/2,787
  6. Step 6: Final answer
    x = 2,219.32

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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.