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Finding the Fourth Proportional to 1,891.90, 2,611.74 and 1,262.80

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Solution

The fourth proportional to 1,891.90, 2,611.74 and 1,262.80 is: 1,743.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.90 : 2,611.74 = 1,262.80 : x
  2. Step 2: Convert to fraction form
    1,891.90/2,611.74 = 1,262.80/x
  3. Step 3: Cross multiply
    1,891.90x = 2,611.74 × 1,262.80
  4. Step 4: Simplify right side
    1,891.90x = 3,298,105.27
  5. Step 5: Solve for x
    x = 3,298,105.27/1,891.90
  6. Step 6: Final answer
    x = 1,743.28

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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.