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Finding the Fourth Proportional to 11,811.66, 16,300.09 and 6,506.59

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Solution

The fourth proportional to 11,811.66, 16,300.09 and 6,506.59 is: 8,979.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.66 : 16,300.09 = 6,506.59 : x
  2. Step 2: Convert to fraction form
    11,811.66/16,300.09 = 6,506.59/x
  3. Step 3: Cross multiply
    11,811.66x = 16,300.09 × 6,506.59
  4. Step 4: Simplify right side
    11,811.66x = 106,057,918.10
  5. Step 5: Solve for x
    x = 106,057,918.10/11,811.66
  6. Step 6: Final answer
    x = 8,979.09

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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.