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Finding the Fourth Proportional to 13,824, 19,074.96 and 7,855.92

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Solution

The fourth proportional to 13,824, 19,074.96 and 7,855.92 is: 10,839.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824 : 19,074.96 = 7,855.92 : x
  2. Step 2: Convert to fraction form
    13,824/19,074.96 = 7,855.92/x
  3. Step 3: Cross multiply
    13,824x = 19,074.96 × 7,855.92
  4. Step 4: Simplify right side
    13,824x = 149,851,359.76
  5. Step 5: Solve for x
    x = 149,851,359.76/13,824
  6. Step 6: Final answer
    x = 10,839.94

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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.