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Finding the Fourth Proportional to 13,508.01, 18,646.74 and 8,204.54

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Solution

The fourth proportional to 13,508.01, 18,646.74 and 8,204.54 is: 11,325.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,508.01 : 18,646.74 = 8,204.54 : x
  2. Step 2: Convert to fraction form
    13,508.01/18,646.74 = 8,204.54/x
  3. Step 3: Cross multiply
    13,508.01x = 18,646.74 × 8,204.54
  4. Step 4: Simplify right side
    13,508.01x = 152,987,830.97
  5. Step 5: Solve for x
    x = 152,987,830.97/13,508.01
  6. Step 6: Final answer
    x = 11,325.71

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