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Finding the Fourth Proportional to 5,394.48, 7,442.64 and 4,136.64

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Solution

The fourth proportional to 5,394.48, 7,442.64 and 4,136.64 is: 5,707.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,394.48 : 7,442.64 = 4,136.64 : x
  2. Step 2: Convert to fraction form
    5,394.48/7,442.64 = 4,136.64/x
  3. Step 3: Cross multiply
    5,394.48x = 7,442.64 × 4,136.64
  4. Step 4: Simplify right side
    5,394.48x = 30,787,522.33
  5. Step 5: Solve for x
    x = 30,787,522.33/5,394.48
  6. Step 6: Final answer
    x = 5,707.23

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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.