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Finding the Fourth Proportional to 9,939, 14,908.46 and 7,749.34

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Solution

The fourth proportional to 9,939, 14,908.46 and 7,749.34 is: 11,623.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,939 : 14,908.46 = 7,749.34 : x
  2. Step 2: Convert to fraction form
    9,939/14,908.46 = 7,749.34/x
  3. Step 3: Cross multiply
    9,939x = 14,908.46 × 7,749.34
  4. Step 4: Simplify right side
    9,939x = 115,530,725.42
  5. Step 5: Solve for x
    x = 115,530,725.42/9,939
  6. Step 6: Final answer
    x = 11,623.98

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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.