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Finding the Fourth Proportional to 5,269.36, 7,271.76 and 3,174.88

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Solution

The fourth proportional to 5,269.36, 7,271.76 and 3,174.88 is: 4,381.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.36 : 7,271.76 = 3,174.88 : x
  2. Step 2: Convert to fraction form
    5,269.36/7,271.76 = 3,174.88/x
  3. Step 3: Cross multiply
    5,269.36x = 7,271.76 × 3,174.88
  4. Step 4: Simplify right side
    5,269.36x = 23,086,965.39
  5. Step 5: Solve for x
    x = 23,086,965.39/5,269.36
  6. Step 6: Final answer
    x = 4,381.36

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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.