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Finding the Fourth Proportional to 2,738.70, 4,108.05 and 2,124.30

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Solution

The fourth proportional to 2,738.70, 4,108.05 and 2,124.30 is: 3,186.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.70 : 4,108.05 = 2,124.30 : x
  2. Step 2: Convert to fraction form
    2,738.70/4,108.05 = 2,124.30/x
  3. Step 3: Cross multiply
    2,738.70x = 4,108.05 × 2,124.30
  4. Step 4: Simplify right side
    2,738.70x = 8,726,730.62
  5. Step 5: Solve for x
    x = 8,726,730.62/2,738.70
  6. Step 6: Final answer
    x = 3,186.45

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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.