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Finding the Fourth Proportional to 11,643.84, 17,469 and 6,453.36

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Solution

The fourth proportional to 11,643.84, 17,469 and 6,453.36 is: 9,681.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.84 : 17,469 = 6,453.36 : x
  2. Step 2: Convert to fraction form
    11,643.84/17,469 = 6,453.36/x
  3. Step 3: Cross multiply
    11,643.84x = 17,469 × 6,453.36
  4. Step 4: Simplify right side
    11,643.84x = 112,733,745.84
  5. Step 5: Solve for x
    x = 112,733,745.84/11,643.84
  6. Step 6: Final answer
    x = 9,681.84

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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.