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Finding the Fourth Proportional to 10,920.56, 16,369.16 and 5,650.26

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Solution

The fourth proportional to 10,920.56, 16,369.16 and 5,650.26 is: 8,469.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.56 : 16,369.16 = 5,650.26 : x
  2. Step 2: Convert to fraction form
    10,920.56/16,369.16 = 5,650.26/x
  3. Step 3: Cross multiply
    10,920.56x = 16,369.16 × 5,650.26
  4. Step 4: Simplify right side
    10,920.56x = 92,490,009.98
  5. Step 5: Solve for x
    x = 92,490,009.98/10,920.56
  6. Step 6: Final answer
    x = 8,469.35

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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.