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Finding the Fourth Proportional to 1,860.98, 2,787.02 and 1,208.12

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Solution

The fourth proportional to 1,860.98, 2,787.02 and 1,208.12 is: 1,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.98 : 2,787.02 = 1,208.12 : x
  2. Step 2: Convert to fraction form
    1,860.98/2,787.02 = 1,208.12/x
  3. Step 3: Cross multiply
    1,860.98x = 2,787.02 × 1,208.12
  4. Step 4: Simplify right side
    1,860.98x = 3,367,048.56
  5. Step 5: Solve for x
    x = 3,367,048.56/1,860.98
  6. Step 6: Final answer
    x = 1,809.29

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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.