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Finding the Fourth Proportional to 3,428.64, 5,144.40 and 1,238.40

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Solution

The fourth proportional to 3,428.64, 5,144.40 and 1,238.40 is: 1,858.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.64 : 5,144.40 = 1,238.40 : x
  2. Step 2: Convert to fraction form
    3,428.64/5,144.40 = 1,238.40/x
  3. Step 3: Cross multiply
    3,428.64x = 5,144.40 × 1,238.40
  4. Step 4: Simplify right side
    3,428.64x = 6,370,824.96
  5. Step 5: Solve for x
    x = 6,370,824.96/3,428.64
  6. Step 6: Final answer
    x = 1,858.12

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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.