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Finding the Fourth Proportional to 18,965.33, 28,448 and 6,485.47

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Solution

The fourth proportional to 18,965.33, 28,448 and 6,485.47 is: 9,728.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,965.33 : 28,448 = 6,485.47 : x
  2. Step 2: Convert to fraction form
    18,965.33/28,448 = 6,485.47/x
  3. Step 3: Cross multiply
    18,965.33x = 28,448 × 6,485.47
  4. Step 4: Simplify right side
    18,965.33x = 184,498,650.56
  5. Step 5: Solve for x
    x = 184,498,650.56/18,965.33
  6. Step 6: Final answer
    x = 9,728.21

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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.