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Finding the Fourth Proportional to 13,735.92, 18,955.53 and 7,448.25

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Solution

The fourth proportional to 13,735.92, 18,955.53 and 7,448.25 is: 10,278.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.92 : 18,955.53 = 7,448.25 : x
  2. Step 2: Convert to fraction form
    13,735.92/18,955.53 = 7,448.25/x
  3. Step 3: Cross multiply
    13,735.92x = 18,955.53 × 7,448.25
  4. Step 4: Simplify right side
    13,735.92x = 141,185,526.32
  5. Step 5: Solve for x
    x = 141,185,526.32/13,735.92
  6. Step 6: Final answer
    x = 10,278.56

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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.