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Finding the Fourth Proportional to 9,969, 13,757.22 and 5,778.60

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Solution

The fourth proportional to 9,969, 13,757.22 and 5,778.60 is: 7,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969 : 13,757.22 = 5,778.60 : x
  2. Step 2: Convert to fraction form
    9,969/13,757.22 = 5,778.60/x
  3. Step 3: Cross multiply
    9,969x = 13,757.22 × 5,778.60
  4. Step 4: Simplify right side
    9,969x = 79,497,471.49
  5. Step 5: Solve for x
    x = 79,497,471.49/9,969
  6. Step 6: Final answer
    x = 7,974.47

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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.