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Finding the Fourth Proportional to 9,790.75, 13,512.05 and 5,599.81

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Solution

The fourth proportional to 9,790.75, 13,512.05 and 5,599.81 is: 7,728.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.75 : 13,512.05 = 5,599.81 : x
  2. Step 2: Convert to fraction form
    9,790.75/13,512.05 = 5,599.81/x
  3. Step 3: Cross multiply
    9,790.75x = 13,512.05 × 5,599.81
  4. Step 4: Simplify right side
    9,790.75x = 75,664,912.71
  5. Step 5: Solve for x
    x = 75,664,912.71/9,790.75
  6. Step 6: Final answer
    x = 7,728.20

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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.