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Finding the Fourth Proportional to 9,948.48, 13,728.40 and 5,968.80

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Solution

The fourth proportional to 9,948.48, 13,728.40 and 5,968.80 is: 8,236.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,948.48 : 13,728.40 = 5,968.80 : x
  2. Step 2: Convert to fraction form
    9,948.48/13,728.40 = 5,968.80/x
  3. Step 3: Cross multiply
    9,948.48x = 13,728.40 × 5,968.80
  4. Step 4: Simplify right side
    9,948.48x = 81,942,073.92
  5. Step 5: Solve for x
    x = 81,942,073.92/9,948.48
  6. Step 6: Final answer
    x = 8,236.64

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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.