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Finding the Fourth Proportional to 11,305, 15,600.90 and 6,889

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Solution

The fourth proportional to 11,305, 15,600.90 and 6,889 is: 9,506.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,305 : 15,600.90 = 6,889 : x
  2. Step 2: Convert to fraction form
    11,305/15,600.90 = 6,889/x
  3. Step 3: Cross multiply
    11,305x = 15,600.90 × 6,889
  4. Step 4: Simplify right side
    11,305x = 107,474,600.10
  5. Step 5: Solve for x
    x = 107,474,600.10/11,305
  6. Step 6: Final answer
    x = 9,506.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.