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Finding the Fourth Proportional to 9,213, 13,821.54 and 3,369.48

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Solution

The fourth proportional to 9,213, 13,821.54 and 3,369.48 is: 5,054.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213 : 13,821.54 = 3,369.48 : x
  2. Step 2: Convert to fraction form
    9,213/13,821.54 = 3,369.48/x
  3. Step 3: Cross multiply
    9,213x = 13,821.54 × 3,369.48
  4. Step 4: Simplify right side
    9,213x = 46,571,402.60
  5. Step 5: Solve for x
    x = 46,571,402.60/9,213
  6. Step 6: Final answer
    x = 5,054.97

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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.