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Finding the Fourth Proportional to 5,463.81, 7,542.63 and 4,119.98

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Solution

The fourth proportional to 5,463.81, 7,542.63 and 4,119.98 is: 5,687.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.81 : 7,542.63 = 4,119.98 : x
  2. Step 2: Convert to fraction form
    5,463.81/7,542.63 = 4,119.98/x
  3. Step 3: Cross multiply
    5,463.81x = 7,542.63 × 4,119.98
  4. Step 4: Simplify right side
    5,463.81x = 31,075,447.03
  5. Step 5: Solve for x
    x = 31,075,447.03/5,463.81
  6. Step 6: Final answer
    x = 5,687.51

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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.