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Finding the Fourth Proportional to 2,709.47, 3,728.22 and 2,079.74

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Solution

The fourth proportional to 2,709.47, 3,728.22 and 2,079.74 is: 2,861.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.47 : 3,728.22 = 2,079.74 : x
  2. Step 2: Convert to fraction form
    2,709.47/3,728.22 = 2,079.74/x
  3. Step 3: Cross multiply
    2,709.47x = 3,728.22 × 2,079.74
  4. Step 4: Simplify right side
    2,709.47x = 7,753,728.26
  5. Step 5: Solve for x
    x = 7,753,728.26/2,709.47
  6. Step 6: Final answer
    x = 2,861.71

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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.