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Finding the Fourth Proportional to 2,679.92, 4,018.68 and 1,035.20

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Solution

The fourth proportional to 2,679.92, 4,018.68 and 1,035.20 is: 1,552.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.92 : 4,018.68 = 1,035.20 : x
  2. Step 2: Convert to fraction form
    2,679.92/4,018.68 = 1,035.20/x
  3. Step 3: Cross multiply
    2,679.92x = 4,018.68 × 1,035.20
  4. Step 4: Simplify right side
    2,679.92x = 4,160,137.54
  5. Step 5: Solve for x
    x = 4,160,137.54/2,679.92
  6. Step 6: Final answer
    x = 1,552.34

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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.