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Finding the Fourth Proportional to 5,785.62, 7,984.20 and 3,133.08

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Solution

The fourth proportional to 5,785.62, 7,984.20 and 3,133.08 is: 4,323.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.62 : 7,984.20 = 3,133.08 : x
  2. Step 2: Convert to fraction form
    5,785.62/7,984.20 = 3,133.08/x
  3. Step 3: Cross multiply
    5,785.62x = 7,984.20 × 3,133.08
  4. Step 4: Simplify right side
    5,785.62x = 25,015,137.34
  5. Step 5: Solve for x
    x = 25,015,137.34/5,785.62
  6. Step 6: Final answer
    x = 4,323.67

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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.