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Finding the Fourth Proportional to 1,991.79, 2,750.15 and 1,206.90

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Solution

The fourth proportional to 1,991.79, 2,750.15 and 1,206.90 is: 1,666.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.79 : 2,750.15 = 1,206.90 : x
  2. Step 2: Convert to fraction form
    1,991.79/2,750.15 = 1,206.90/x
  3. Step 3: Cross multiply
    1,991.79x = 2,750.15 × 1,206.90
  4. Step 4: Simplify right side
    1,991.79x = 3,319,159.05
  5. Step 5: Solve for x
    x = 3,319,159.05/1,991.79
  6. Step 6: Final answer
    x = 1,666.42

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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.