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Finding the Fourth Proportional to 2,137.98, 3,207.38 and 677.01

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Solution

The fourth proportional to 2,137.98, 3,207.38 and 677.01 is: 1,015.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.98 : 3,207.38 = 677.01 : x
  2. Step 2: Convert to fraction form
    2,137.98/3,207.38 = 677.01/x
  3. Step 3: Cross multiply
    2,137.98x = 3,207.38 × 677.01
  4. Step 4: Simplify right side
    2,137.98x = 2,171,424.95
  5. Step 5: Solve for x
    x = 2,171,424.95/2,137.98
  6. Step 6: Final answer
    x = 1,015.64

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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.