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Finding the Fourth Proportional to 13,661.85, 18,854.06 and 8,355

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Solution

The fourth proportional to 13,661.85, 18,854.06 and 8,355 is: 11,530.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661.85 : 18,854.06 = 8,355 : x
  2. Step 2: Convert to fraction form
    13,661.85/18,854.06 = 8,355/x
  3. Step 3: Cross multiply
    13,661.85x = 18,854.06 × 8,355
  4. Step 4: Simplify right side
    13,661.85x = 157,525,629.53
  5. Step 5: Solve for x
    x = 157,525,629.53/13,661.85
  6. Step 6: Final answer
    x = 11,530.33

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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.