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Finding the Fourth Proportional to 11,107.88, 16,580.78 and 9,706.60

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Solution

The fourth proportional to 11,107.88, 16,580.78 and 9,706.60 is: 14,489.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,107.88 : 16,580.78 = 9,706.60 : x
  2. Step 2: Convert to fraction form
    11,107.88/16,580.78 = 9,706.60/x
  3. Step 3: Cross multiply
    11,107.88x = 16,580.78 × 9,706.60
  4. Step 4: Simplify right side
    11,107.88x = 160,942,999.15
  5. Step 5: Solve for x
    x = 160,942,999.15/11,107.88
  6. Step 6: Final answer
    x = 14,489.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.