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Finding the Fourth Proportional to 2,004, 2,767.78 and 1,976.70

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Solution

The fourth proportional to 2,004, 2,767.78 and 1,976.70 is: 2,730.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004 : 2,767.78 = 1,976.70 : x
  2. Step 2: Convert to fraction form
    2,004/2,767.78 = 1,976.70/x
  3. Step 3: Cross multiply
    2,004x = 2,767.78 × 1,976.70
  4. Step 4: Simplify right side
    2,004x = 5,471,070.73
  5. Step 5: Solve for x
    x = 5,471,070.73/2,004
  6. Step 6: Final answer
    x = 2,730.08

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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.