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Finding the Fourth Proportional to 2,709.53, 3,741.26 and 2,079.05

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Solution

The fourth proportional to 2,709.53, 3,741.26 and 2,079.05 is: 2,870.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.53 : 3,741.26 = 2,079.05 : x
  2. Step 2: Convert to fraction form
    2,709.53/3,741.26 = 2,079.05/x
  3. Step 3: Cross multiply
    2,709.53x = 3,741.26 × 2,079.05
  4. Step 4: Simplify right side
    2,709.53x = 7,778,265.56
  5. Step 5: Solve for x
    x = 7,778,265.56/2,709.53
  6. Step 6: Final answer
    x = 2,870.71

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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.