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Finding the Fourth Proportional to 2,538.44, 3,502.72 and 1,419.44

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Solution

The fourth proportional to 2,538.44, 3,502.72 and 1,419.44 is: 1,958.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.44 : 3,502.72 = 1,419.44 : x
  2. Step 2: Convert to fraction form
    2,538.44/3,502.72 = 1,419.44/x
  3. Step 3: Cross multiply
    2,538.44x = 3,502.72 × 1,419.44
  4. Step 4: Simplify right side
    2,538.44x = 4,971,900.88
  5. Step 5: Solve for x
    x = 4,971,900.88/2,538.44
  6. Step 6: Final answer
    x = 1,958.64

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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.