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Finding the Fourth Proportional to 11,174.80, 16,762.20 and 5,342.80

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Solution

The fourth proportional to 11,174.80, 16,762.20 and 5,342.80 is: 8,014.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,174.80 : 16,762.20 = 5,342.80 : x
  2. Step 2: Convert to fraction form
    11,174.80/16,762.20 = 5,342.80/x
  3. Step 3: Cross multiply
    11,174.80x = 16,762.20 × 5,342.80
  4. Step 4: Simplify right side
    11,174.80x = 89,557,082.16
  5. Step 5: Solve for x
    x = 89,557,082.16/11,174.80
  6. Step 6: Final answer
    x = 8,014.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.