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Finding the Fourth Proportional to 11,811.75, 16,300.04 and 6,506.57

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Solution

The fourth proportional to 11,811.75, 16,300.04 and 6,506.57 is: 8,978.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.75 : 16,300.04 = 6,506.57 : x
  2. Step 2: Convert to fraction form
    11,811.75/16,300.04 = 6,506.57/x
  3. Step 3: Cross multiply
    11,811.75x = 16,300.04 × 6,506.57
  4. Step 4: Simplify right side
    11,811.75x = 106,057,351.26
  5. Step 5: Solve for x
    x = 106,057,351.26/11,811.75
  6. Step 6: Final answer
    x = 8,978.97

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1.5x scale

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.