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Finding the Fourth Proportional to 9,769.14, 14,660.97 and 5,390.34

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Solution

The fourth proportional to 9,769.14, 14,660.97 and 5,390.34 is: 8,089.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.14 : 14,660.97 = 5,390.34 : x
  2. Step 2: Convert to fraction form
    9,769.14/14,660.97 = 5,390.34/x
  3. Step 3: Cross multiply
    9,769.14x = 14,660.97 × 5,390.34
  4. Step 4: Simplify right side
    9,769.14x = 79,027,613.03
  5. Step 5: Solve for x
    x = 79,027,613.03/9,769.14
  6. Step 6: Final answer
    x = 8,089.52

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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.