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Finding the Fourth Proportional to 13,851.84, 19,116 and 7,564.80

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Solution

The fourth proportional to 13,851.84, 19,116 and 7,564.80 is: 10,439.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.84 : 19,116 = 7,564.80 : x
  2. Step 2: Convert to fraction form
    13,851.84/19,116 = 7,564.80/x
  3. Step 3: Cross multiply
    13,851.84x = 19,116 × 7,564.80
  4. Step 4: Simplify right side
    13,851.84x = 144,608,716.80
  5. Step 5: Solve for x
    x = 144,608,716.80/13,851.84
  6. Step 6: Final answer
    x = 10,439.68

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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.