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Finding the Fourth Proportional to 2,110.49, 3,165.46 and 649.52

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Solution

The fourth proportional to 2,110.49, 3,165.46 and 649.52 is: 974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.49 : 3,165.46 = 649.52 : x
  2. Step 2: Convert to fraction form
    2,110.49/3,165.46 = 649.52/x
  3. Step 3: Cross multiply
    2,110.49x = 3,165.46 × 649.52
  4. Step 4: Simplify right side
    2,110.49x = 2,056,029.58
  5. Step 5: Solve for x
    x = 2,056,029.58/2,110.49
  6. Step 6: Final answer
    x = 974.20

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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.