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Finding the Fourth Proportional to 5,482.08, 8,213.40 and 3,812.67

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Solution

The fourth proportional to 5,482.08, 8,213.40 and 3,812.67 is: 5,712.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.08 : 8,213.40 = 3,812.67 : x
  2. Step 2: Convert to fraction form
    5,482.08/8,213.40 = 3,812.67/x
  3. Step 3: Cross multiply
    5,482.08x = 8,213.40 × 3,812.67
  4. Step 4: Simplify right side
    5,482.08x = 31,314,983.78
  5. Step 5: Solve for x
    x = 31,314,983.78/5,482.08
  6. Step 6: Final answer
    x = 5,712.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.