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Finding the Fourth Proportional to 1,994.66, 2,752.88 and 1,208.71

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Solution

The fourth proportional to 1,994.66, 2,752.88 and 1,208.71 is: 1,668.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.66 : 2,752.88 = 1,208.71 : x
  2. Step 2: Convert to fraction form
    1,994.66/2,752.88 = 1,208.71/x
  3. Step 3: Cross multiply
    1,994.66x = 2,752.88 × 1,208.71
  4. Step 4: Simplify right side
    1,994.66x = 3,327,433.58
  5. Step 5: Solve for x
    x = 3,327,433.58/1,994.66
  6. Step 6: Final answer
    x = 1,668.17

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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.