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Finding the Fourth Proportional to 1,851.74, 2,776.74 and 1,266.92

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Solution

The fourth proportional to 1,851.74, 2,776.74 and 1,266.92 is: 1,899.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.74 : 2,776.74 = 1,266.92 : x
  2. Step 2: Convert to fraction form
    1,851.74/2,776.74 = 1,266.92/x
  3. Step 3: Cross multiply
    1,851.74x = 2,776.74 × 1,266.92
  4. Step 4: Simplify right side
    1,851.74x = 3,517,907.44
  5. Step 5: Solve for x
    x = 3,517,907.44/1,851.74
  6. Step 6: Final answer
    x = 1,899.78

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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.