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Finding the Fourth Proportional to 7,686, 11,530.44 and 3,582

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Solution

The fourth proportional to 7,686, 11,530.44 and 3,582 is: 5,373.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686 : 11,530.44 = 3,582 : x
  2. Step 2: Convert to fraction form
    7,686/11,530.44 = 3,582/x
  3. Step 3: Cross multiply
    7,686x = 11,530.44 × 3,582
  4. Step 4: Simplify right side
    7,686x = 41,302,036.08
  5. Step 5: Solve for x
    x = 41,302,036.08/7,686
  6. Step 6: Final answer
    x = 5,373.67

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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.