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Finding the Fourth Proportional to 10,806.67, 14,912.13 and 7,975.60

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Solution

The fourth proportional to 10,806.67, 14,912.13 and 7,975.60 is: 11,005.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.67 : 14,912.13 = 7,975.60 : x
  2. Step 2: Convert to fraction form
    10,806.67/14,912.13 = 7,975.60/x
  3. Step 3: Cross multiply
    10,806.67x = 14,912.13 × 7,975.60
  4. Step 4: Simplify right side
    10,806.67x = 118,933,184.03
  5. Step 5: Solve for x
    x = 118,933,184.03/10,806.67
  6. Step 6: Final answer
    x = 11,005.53

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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.