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Finding the Fourth Proportional to 11,100, 16,661.40 and 8,661.48

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Solution

The fourth proportional to 11,100, 16,661.40 and 8,661.48 is: 13,001.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,100 : 16,661.40 = 8,661.48 : x
  2. Step 2: Convert to fraction form
    11,100/16,661.40 = 8,661.48/x
  3. Step 3: Cross multiply
    11,100x = 16,661.40 × 8,661.48
  4. Step 4: Simplify right side
    11,100x = 144,312,382.87
  5. Step 5: Solve for x
    x = 144,312,382.87/11,100
  6. Step 6: Final answer
    x = 13,001.12

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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.