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Finding the Fourth Proportional to 9,769.38, 14,654.88 and 2,749.50

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Solution

The fourth proportional to 9,769.38, 14,654.88 and 2,749.50 is: 4,124.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.38 : 14,654.88 = 2,749.50 : x
  2. Step 2: Convert to fraction form
    9,769.38/14,654.88 = 2,749.50/x
  3. Step 3: Cross multiply
    9,769.38x = 14,654.88 × 2,749.50
  4. Step 4: Simplify right side
    9,769.38x = 40,293,592.56
  5. Step 5: Solve for x
    x = 40,293,592.56/9,769.38
  6. Step 6: Final answer
    x = 4,124.48

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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.