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Finding the Fourth Proportional to 2,011.97, 2,776.65 and 1,127.83

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Solution

The fourth proportional to 2,011.97, 2,776.65 and 1,127.83 is: 1,556.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.97 : 2,776.65 = 1,127.83 : x
  2. Step 2: Convert to fraction form
    2,011.97/2,776.65 = 1,127.83/x
  3. Step 3: Cross multiply
    2,011.97x = 2,776.65 × 1,127.83
  4. Step 4: Simplify right side
    2,011.97x = 3,131,569.65
  5. Step 5: Solve for x
    x = 3,131,569.65/2,011.97
  6. Step 6: Final answer
    x = 1,556.47

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