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Finding the Fourth Proportional to 7,669, 11,506.20 and 3,776.14

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Solution

The fourth proportional to 7,669, 11,506.20 and 3,776.14 is: 5,665.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669 : 11,506.20 = 3,776.14 : x
  2. Step 2: Convert to fraction form
    7,669/11,506.20 = 3,776.14/x
  3. Step 3: Cross multiply
    7,669x = 11,506.20 × 3,776.14
  4. Step 4: Simplify right side
    7,669x = 43,449,022.07
  5. Step 5: Solve for x
    x = 43,449,022.07/7,669
  6. Step 6: Final answer
    x = 5,665.54

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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.