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Finding the Fourth Proportional to 5,049.80, 6,968.53 and 2,811.60

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Solution

The fourth proportional to 5,049.80, 6,968.53 and 2,811.60 is: 3,879.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.80 : 6,968.53 = 2,811.60 : x
  2. Step 2: Convert to fraction form
    5,049.80/6,968.53 = 2,811.60/x
  3. Step 3: Cross multiply
    5,049.80x = 6,968.53 × 2,811.60
  4. Step 4: Simplify right side
    5,049.80x = 19,592,718.95
  5. Step 5: Solve for x
    x = 19,592,718.95/5,049.80
  6. Step 6: Final answer
    x = 3,879.90

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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.