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Finding the Fourth Proportional to 13,647, 20,465.01 and 5,325.81

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Solution

The fourth proportional to 13,647, 20,465.01 and 5,325.81 is: 7,986.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647 : 20,465.01 = 5,325.81 : x
  2. Step 2: Convert to fraction form
    13,647/20,465.01 = 5,325.81/x
  3. Step 3: Cross multiply
    13,647x = 20,465.01 × 5,325.81
  4. Step 4: Simplify right side
    13,647x = 108,992,754.91
  5. Step 5: Solve for x
    x = 108,992,754.91/13,647
  6. Step 6: Final answer
    x = 7,986.57

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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.