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Finding the Fourth Proportional to 9,481, 13,083.78 and 5,289.25

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Solution

The fourth proportional to 9,481, 13,083.78 and 5,289.25 is: 7,299.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481 : 13,083.78 = 5,289.25 : x
  2. Step 2: Convert to fraction form
    9,481/13,083.78 = 5,289.25/x
  3. Step 3: Cross multiply
    9,481x = 13,083.78 × 5,289.25
  4. Step 4: Simplify right side
    9,481x = 69,203,383.37
  5. Step 5: Solve for x
    x = 69,203,383.37/9,481
  6. Step 6: Final answer
    x = 7,299.17

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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.