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Finding the Fourth Proportional to 3,438.78, 4,750 and 3,020.56

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Solution

The fourth proportional to 3,438.78, 4,750 and 3,020.56 is: 4,172.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.78 : 4,750 = 3,020.56 : x
  2. Step 2: Convert to fraction form
    3,438.78/4,750 = 3,020.56/x
  3. Step 3: Cross multiply
    3,438.78x = 4,750 × 3,020.56
  4. Step 4: Simplify right side
    3,438.78x = 14,347,660
  5. Step 5: Solve for x
    x = 14,347,660/3,438.78
  6. Step 6: Final answer
    x = 4,172.31

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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.