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Finding the Fourth Proportional to 5,381.44, 7,424.31 and 3,968.47

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Solution

The fourth proportional to 5,381.44, 7,424.31 and 3,968.47 is: 5,474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.44 : 7,424.31 = 3,968.47 : x
  2. Step 2: Convert to fraction form
    5,381.44/7,424.31 = 3,968.47/x
  3. Step 3: Cross multiply
    5,381.44x = 7,424.31 × 3,968.47
  4. Step 4: Simplify right side
    5,381.44x = 29,463,151.51
  5. Step 5: Solve for x
    x = 29,463,151.51/5,381.44
  6. Step 6: Final answer
    x = 5,474.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.