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Finding the Fourth Proportional to 5,735.64, 7,916.22 and 3,969.48

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Solution

The fourth proportional to 5,735.64, 7,916.22 and 3,969.48 is: 5,478.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.64 : 7,916.22 = 3,969.48 : x
  2. Step 2: Convert to fraction form
    5,735.64/7,916.22 = 3,969.48/x
  3. Step 3: Cross multiply
    5,735.64x = 7,916.22 × 3,969.48
  4. Step 4: Simplify right side
    5,735.64x = 31,423,276.97
  5. Step 5: Solve for x
    x = 31,423,276.97/5,735.64
  6. Step 6: Final answer
    x = 5,478.60

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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.