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Finding the Fourth Proportional to 9,832.36, 13,567.78 and 5,640.36

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Solution

The fourth proportional to 9,832.36, 13,567.78 and 5,640.36 is: 7,783.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.36 : 13,567.78 = 5,640.36 : x
  2. Step 2: Convert to fraction form
    9,832.36/13,567.78 = 5,640.36/x
  3. Step 3: Cross multiply
    9,832.36x = 13,567.78 × 5,640.36
  4. Step 4: Simplify right side
    9,832.36x = 76,527,163.60
  5. Step 5: Solve for x
    x = 76,527,163.60/9,832.36
  6. Step 6: Final answer
    x = 7,783.19

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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.