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Finding the Fourth Proportional to 1,977.63, 2,729.17 and 1,280.22

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Solution

The fourth proportional to 1,977.63, 2,729.17 and 1,280.22 is: 1,766.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.63 : 2,729.17 = 1,280.22 : x
  2. Step 2: Convert to fraction form
    1,977.63/2,729.17 = 1,280.22/x
  3. Step 3: Cross multiply
    1,977.63x = 2,729.17 × 1,280.22
  4. Step 4: Simplify right side
    1,977.63x = 3,493,938.02
  5. Step 5: Solve for x
    x = 3,493,938.02/1,977.63
  6. Step 6: Final answer
    x = 1,766.73

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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.