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Finding the Fourth Proportional to 9,945, 13,724.10 and 5,755.68

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Solution

The fourth proportional to 9,945, 13,724.10 and 5,755.68 is: 7,942.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,945 : 13,724.10 = 5,755.68 : x
  2. Step 2: Convert to fraction form
    9,945/13,724.10 = 5,755.68/x
  3. Step 3: Cross multiply
    9,945x = 13,724.10 × 5,755.68
  4. Step 4: Simplify right side
    9,945x = 78,991,527.89
  5. Step 5: Solve for x
    x = 78,991,527.89/9,945
  6. Step 6: Final answer
    x = 7,942.84

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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.