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Finding the Fourth Proportional to 13,540.92, 20,313 and 4,774.02

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Solution

The fourth proportional to 13,540.92, 20,313 and 4,774.02 is: 7,161.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,540.92 : 20,313 = 4,774.02 : x
  2. Step 2: Convert to fraction form
    13,540.92/20,313 = 4,774.02/x
  3. Step 3: Cross multiply
    13,540.92x = 20,313 × 4,774.02
  4. Step 4: Simplify right side
    13,540.92x = 96,974,668.26
  5. Step 5: Solve for x
    x = 96,974,668.26/13,540.92
  6. Step 6: Final answer
    x = 7,161.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.