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Finding the Fourth Proportional to 5,769.96, 7,968.36 and 4,971.64

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Solution

The fourth proportional to 5,769.96, 7,968.36 and 4,971.64 is: 6,865.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.96 : 7,968.36 = 4,971.64 : x
  2. Step 2: Convert to fraction form
    5,769.96/7,968.36 = 4,971.64/x
  3. Step 3: Cross multiply
    5,769.96x = 7,968.36 × 4,971.64
  4. Step 4: Simplify right side
    5,769.96x = 39,615,817.31
  5. Step 5: Solve for x
    x = 39,615,817.31/5,769.96
  6. Step 6: Final answer
    x = 6,865.87

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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.