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Finding the Fourth Proportional to 1,991.58, 2,986.35 and 1,170.10

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Solution

The fourth proportional to 1,991.58, 2,986.35 and 1,170.10 is: 1,754.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.58 : 2,986.35 = 1,170.10 : x
  2. Step 2: Convert to fraction form
    1,991.58/2,986.35 = 1,170.10/x
  3. Step 3: Cross multiply
    1,991.58x = 2,986.35 × 1,170.10
  4. Step 4: Simplify right side
    1,991.58x = 3,494,328.14
  5. Step 5: Solve for x
    x = 3,494,328.14/1,991.58
  6. Step 6: Final answer
    x = 1,754.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.