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Finding the Fourth Proportional to 2,607.49, 3,911.14 and 758.62

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Solution

The fourth proportional to 2,607.49, 3,911.14 and 758.62 is: 1,137.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.49 : 3,911.14 = 758.62 : x
  2. Step 2: Convert to fraction form
    2,607.49/3,911.14 = 758.62/x
  3. Step 3: Cross multiply
    2,607.49x = 3,911.14 × 758.62
  4. Step 4: Simplify right side
    2,607.49x = 2,967,069.03
  5. Step 5: Solve for x
    x = 2,967,069.03/2,607.49
  6. Step 6: Final answer
    x = 1,137.90

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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.