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Finding the Fourth Proportional to 11,655, 17,485.27 and 3,863.81

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Solution

The fourth proportional to 11,655, 17,485.27 and 3,863.81 is: 5,796.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655 : 17,485.27 = 3,863.81 : x
  2. Step 2: Convert to fraction form
    11,655/17,485.27 = 3,863.81/x
  3. Step 3: Cross multiply
    11,655x = 17,485.27 × 3,863.81
  4. Step 4: Simplify right side
    11,655x = 67,559,795.13
  5. Step 5: Solve for x
    x = 67,559,795.13/11,655
  6. Step 6: Final answer
    x = 5,796.64

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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.