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Finding the Fourth Proportional to 9,282, 13,922.73 and 3,438.48

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Solution

The fourth proportional to 9,282, 13,922.73 and 3,438.48 is: 5,157.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282 : 13,922.73 = 3,438.48 : x
  2. Step 2: Convert to fraction form
    9,282/13,922.73 = 3,438.48/x
  3. Step 3: Cross multiply
    9,282x = 13,922.73 × 3,438.48
  4. Step 4: Simplify right side
    9,282x = 47,873,028.65
  5. Step 5: Solve for x
    x = 47,873,028.65/9,282
  6. Step 6: Final answer
    x = 5,157.62

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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.