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Finding the Fourth Proportional to 1,993.90, 2,751.12 and 1,207.78

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Solution

The fourth proportional to 1,993.90, 2,751.12 and 1,207.78 is: 1,666.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.90 : 2,751.12 = 1,207.78 : x
  2. Step 2: Convert to fraction form
    1,993.90/2,751.12 = 1,207.78/x
  3. Step 3: Cross multiply
    1,993.90x = 2,751.12 × 1,207.78
  4. Step 4: Simplify right side
    1,993.90x = 3,322,747.71
  5. Step 5: Solve for x
    x = 3,322,747.71/1,993.90
  6. Step 6: Final answer
    x = 1,666.46

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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.