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Finding the Fourth Proportional to 13,643.84, 18,823.84 and 8,267.92

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Solution

The fourth proportional to 13,643.84, 18,823.84 and 8,267.92 is: 11,406.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.84 : 18,823.84 = 8,267.92 : x
  2. Step 2: Convert to fraction form
    13,643.84/18,823.84 = 8,267.92/x
  3. Step 3: Cross multiply
    13,643.84x = 18,823.84 × 8,267.92
  4. Step 4: Simplify right side
    13,643.84x = 155,634,087.87
  5. Step 5: Solve for x
    x = 155,634,087.87/13,643.84
  6. Step 6: Final answer
    x = 11,406.91

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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.