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Finding the Fourth Proportional to 4,838.40, 7,241.40 and 3,380.40

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Solution

The fourth proportional to 4,838.40, 7,241.40 and 3,380.40 is: 5,059.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.40 : 7,241.40 = 3,380.40 : x
  2. Step 2: Convert to fraction form
    4,838.40/7,241.40 = 3,380.40/x
  3. Step 3: Cross multiply
    4,838.40x = 7,241.40 × 3,380.40
  4. Step 4: Simplify right side
    4,838.40x = 24,478,828.56
  5. Step 5: Solve for x
    x = 24,478,828.56/4,838.40
  6. Step 6: Final answer
    x = 5,059.28

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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.