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Finding the Fourth Proportional to 18,911.98, 28,372.11 and 5,764.02

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Solution

The fourth proportional to 18,911.98, 28,372.11 and 5,764.02 is: 8,647.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,911.98 : 28,372.11 = 5,764.02 : x
  2. Step 2: Convert to fraction form
    18,911.98/28,372.11 = 5,764.02/x
  3. Step 3: Cross multiply
    18,911.98x = 28,372.11 × 5,764.02
  4. Step 4: Simplify right side
    18,911.98x = 163,537,409.48
  5. Step 5: Solve for x
    x = 163,537,409.48/18,911.98
  6. Step 6: Final answer
    x = 8,647.29

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Why These Related Problems?

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