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Finding the Fourth Proportional to 2,651.66, 3,975.57 and 2,000.78

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Solution

The fourth proportional to 2,651.66, 3,975.57 and 2,000.78 is: 2,999.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.66 : 3,975.57 = 2,000.78 : x
  2. Step 2: Convert to fraction form
    2,651.66/3,975.57 = 2,000.78/x
  3. Step 3: Cross multiply
    2,651.66x = 3,975.57 × 2,000.78
  4. Step 4: Simplify right side
    2,651.66x = 7,954,240.94
  5. Step 5: Solve for x
    x = 7,954,240.94/2,651.66
  6. Step 6: Final answer
    x = 2,999.72

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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.