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Finding the Fourth Proportional to 1,768.10, 2,649.49 and 1,612.49

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Solution

The fourth proportional to 1,768.10, 2,649.49 and 1,612.49 is: 2,416.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.10 : 2,649.49 = 1,612.49 : x
  2. Step 2: Convert to fraction form
    1,768.10/2,649.49 = 1,612.49/x
  3. Step 3: Cross multiply
    1,768.10x = 2,649.49 × 1,612.49
  4. Step 4: Simplify right side
    1,768.10x = 4,272,258.85
  5. Step 5: Solve for x
    x = 4,272,258.85/1,768.10
  6. Step 6: Final answer
    x = 2,416.30

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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.