Home / 9,724.96-13,422-5,534.56

Finding the Fourth Proportional to 9,724.96, 13,422 and 5,534.56

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Solution

The fourth proportional to 9,724.96, 13,422 and 5,534.56 is: 7,638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.96 : 13,422 = 5,534.56 : x
  2. Step 2: Convert to fraction form
    9,724.96/13,422 = 5,534.56/x
  3. Step 3: Cross multiply
    9,724.96x = 13,422 × 5,534.56
  4. Step 4: Simplify right side
    9,724.96x = 74,284,864.32
  5. Step 5: Solve for x
    x = 74,284,864.32/9,724.96
  6. Step 6: Final answer
    x = 7,638.58

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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.