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Finding the Fourth Proportional to 2,787.06, 3,846.12 and 1,608.11

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Solution

The fourth proportional to 2,787.06, 3,846.12 and 1,608.11 is: 2,219.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.06 : 3,846.12 = 1,608.11 : x
  2. Step 2: Convert to fraction form
    2,787.06/3,846.12 = 1,608.11/x
  3. Step 3: Cross multiply
    2,787.06x = 3,846.12 × 1,608.11
  4. Step 4: Simplify right side
    2,787.06x = 6,184,973.20
  5. Step 5: Solve for x
    x = 6,184,973.20/2,787.06
  6. Step 6: Final answer
    x = 2,219.17

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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.