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Finding the Fourth Proportional to 13,641, 18,824.60 and 8,052

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Solution

The fourth proportional to 13,641, 18,824.60 and 8,052 is: 11,111.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641 : 18,824.60 = 8,052 : x
  2. Step 2: Convert to fraction form
    13,641/18,824.60 = 8,052/x
  3. Step 3: Cross multiply
    13,641x = 18,824.60 × 8,052
  4. Step 4: Simplify right side
    13,641x = 151,575,679.20
  5. Step 5: Solve for x
    x = 151,575,679.20/13,641
  6. Step 6: Final answer
    x = 11,111.77

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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.