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Finding the Fourth Proportional to 8,735.88, 13,102.74 and 3,540.12

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Solution

The fourth proportional to 8,735.88, 13,102.74 and 3,540.12 is: 5,309.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735.88 : 13,102.74 = 3,540.12 : x
  2. Step 2: Convert to fraction form
    8,735.88/13,102.74 = 3,540.12/x
  3. Step 3: Cross multiply
    8,735.88x = 13,102.74 × 3,540.12
  4. Step 4: Simplify right side
    8,735.88x = 46,385,271.93
  5. Step 5: Solve for x
    x = 46,385,271.93/8,735.88
  6. Step 6: Final answer
    x = 5,309.74

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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.