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Finding the Fourth Proportional to 2,000.72, 2,759.12 and 1,254.44

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Solution

The fourth proportional to 2,000.72, 2,759.12 and 1,254.44 is: 1,729.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.72 : 2,759.12 = 1,254.44 : x
  2. Step 2: Convert to fraction form
    2,000.72/2,759.12 = 1,254.44/x
  3. Step 3: Cross multiply
    2,000.72x = 2,759.12 × 1,254.44
  4. Step 4: Simplify right side
    2,000.72x = 3,461,150.49
  5. Step 5: Solve for x
    x = 3,461,150.49/2,000.72
  6. Step 6: Final answer
    x = 1,729.95

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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.