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Finding the Fourth Proportional to 1,990.77, 2,747.16 and 1,106.63

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Solution

The fourth proportional to 1,990.77, 2,747.16 and 1,106.63 is: 1,527.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.77 : 2,747.16 = 1,106.63 : x
  2. Step 2: Convert to fraction form
    1,990.77/2,747.16 = 1,106.63/x
  3. Step 3: Cross multiply
    1,990.77x = 2,747.16 × 1,106.63
  4. Step 4: Simplify right side
    1,990.77x = 3,040,075.94
  5. Step 5: Solve for x
    x = 3,040,075.94/1,990.77
  6. Step 6: Final answer
    x = 1,527.09

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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.