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Finding the Fourth Proportional to 2,753.90, 3,798.80 and 2,006.98

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Solution

The fourth proportional to 2,753.90, 3,798.80 and 2,006.98 is: 2,768.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.90 : 3,798.80 = 2,006.98 : x
  2. Step 2: Convert to fraction form
    2,753.90/3,798.80 = 2,006.98/x
  3. Step 3: Cross multiply
    2,753.90x = 3,798.80 × 2,006.98
  4. Step 4: Simplify right side
    2,753.90x = 7,624,103.62
  5. Step 5: Solve for x
    x = 7,624,103.62/2,753.90
  6. Step 6: Final answer
    x = 2,768.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.