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Finding the Fourth Proportional to 12,152, 18,229.76 and 3,829.20

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Solution

The fourth proportional to 12,152, 18,229.76 and 3,829.20 is: 5,744.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152 : 18,229.76 = 3,829.20 : x
  2. Step 2: Convert to fraction form
    12,152/18,229.76 = 3,829.20/x
  3. Step 3: Cross multiply
    12,152x = 18,229.76 × 3,829.20
  4. Step 4: Simplify right side
    12,152x = 69,805,396.99
  5. Step 5: Solve for x
    x = 69,805,396.99/12,152
  6. Step 6: Final answer
    x = 5,744.35

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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.