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Finding the Fourth Proportional to 7,667, 11,505.90 and 3,051.08

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Solution

The fourth proportional to 7,667, 11,505.90 and 3,051.08 is: 4,578.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667 : 11,505.90 = 3,051.08 : x
  2. Step 2: Convert to fraction form
    7,667/11,505.90 = 3,051.08/x
  3. Step 3: Cross multiply
    7,667x = 11,505.90 × 3,051.08
  4. Step 4: Simplify right side
    7,667x = 35,105,421.37
  5. Step 5: Solve for x
    x = 35,105,421.37/7,667
  6. Step 6: Final answer
    x = 4,578.77

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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.