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Finding the Fourth Proportional to 10,485.06, 14,469.39 and 5,769.42

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Solution

The fourth proportional to 10,485.06, 14,469.39 and 5,769.42 is: 7,961.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.06 : 14,469.39 = 5,769.42 : x
  2. Step 2: Convert to fraction form
    10,485.06/14,469.39 = 5,769.42/x
  3. Step 3: Cross multiply
    10,485.06x = 14,469.39 × 5,769.42
  4. Step 4: Simplify right side
    10,485.06x = 83,479,988.05
  5. Step 5: Solve for x
    x = 83,479,988.05/10,485.06
  6. Step 6: Final answer
    x = 7,961.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.