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Finding the Fourth Proportional to 1,991.44, 2,746.86 and 1,599.40

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Solution

The fourth proportional to 1,991.44, 2,746.86 and 1,599.40 is: 2,206.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.44 : 2,746.86 = 1,599.40 : x
  2. Step 2: Convert to fraction form
    1,991.44/2,746.86 = 1,599.40/x
  3. Step 3: Cross multiply
    1,991.44x = 2,746.86 × 1,599.40
  4. Step 4: Simplify right side
    1,991.44x = 4,393,327.88
  5. Step 5: Solve for x
    x = 4,393,327.88/1,991.44
  6. Step 6: Final answer
    x = 2,206.11

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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.