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Finding the Fourth Proportional to 5,485.96, 8,224.08 and 4,097.62

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Solution

The fourth proportional to 5,485.96, 8,224.08 and 4,097.62 is: 6,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,485.96 : 8,224.08 = 4,097.62 : x
  2. Step 2: Convert to fraction form
    5,485.96/8,224.08 = 4,097.62/x
  3. Step 3: Cross multiply
    5,485.96x = 8,224.08 × 4,097.62
  4. Step 4: Simplify right side
    5,485.96x = 33,699,154.69
  5. Step 5: Solve for x
    x = 33,699,154.69/5,485.96
  6. Step 6: Final answer
    x = 6,142.80

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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.