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Finding the Fourth Proportional to 2,000.94, 2,760.89 and 1,214.55

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Solution

The fourth proportional to 2,000.94, 2,760.89 and 1,214.55 is: 1,675.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.94 : 2,760.89 = 1,214.55 : x
  2. Step 2: Convert to fraction form
    2,000.94/2,760.89 = 1,214.55/x
  3. Step 3: Cross multiply
    2,000.94x = 2,760.89 × 1,214.55
  4. Step 4: Simplify right side
    2,000.94x = 3,353,232.88
  5. Step 5: Solve for x
    x = 3,353,232.88/2,000.94
  6. Step 6: Final answer
    x = 1,675.83

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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.