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Finding the Fourth Proportional to 13,588.64, 18,752.64 and 8,000

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Solution

The fourth proportional to 13,588.64, 18,752.64 and 8,000 is: 11,040.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,588.64 : 18,752.64 = 8,000 : x
  2. Step 2: Convert to fraction form
    13,588.64/18,752.64 = 8,000/x
  3. Step 3: Cross multiply
    13,588.64x = 18,752.64 × 8,000
  4. Step 4: Simplify right side
    13,588.64x = 150,021,120
  5. Step 5: Solve for x
    x = 150,021,120/13,588.64
  6. Step 6: Final answer
    x = 11,040.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.