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Finding the Fourth Proportional to 1,994.25, 2,751.12 and 1,405.11

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Solution

The fourth proportional to 1,994.25, 2,751.12 and 1,405.11 is: 1,938.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.25 : 2,751.12 = 1,405.11 : x
  2. Step 2: Convert to fraction form
    1,994.25/2,751.12 = 1,405.11/x
  3. Step 3: Cross multiply
    1,994.25x = 2,751.12 × 1,405.11
  4. Step 4: Simplify right side
    1,994.25x = 3,865,626.22
  5. Step 5: Solve for x
    x = 3,865,626.22/1,994.25
  6. Step 6: Final answer
    x = 1,938.39

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1.5x scale

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.