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Finding the Fourth Proportional to 2,165.16, 3,247.41 and 605

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Solution

The fourth proportional to 2,165.16, 3,247.41 and 605 is: 907.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.16 : 3,247.41 = 605 : x
  2. Step 2: Convert to fraction form
    2,165.16/3,247.41 = 605/x
  3. Step 3: Cross multiply
    2,165.16x = 3,247.41 × 605
  4. Step 4: Simplify right side
    2,165.16x = 1,964,683.05
  5. Step 5: Solve for x
    x = 1,964,683.05/2,165.16
  6. Step 6: Final answer
    x = 907.41

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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.