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Finding the Fourth Proportional to 5,401.65, 8,102.75 and 1,704.16

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Solution

The fourth proportional to 5,401.65, 8,102.75 and 1,704.16 is: 2,556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,401.65 : 8,102.75 = 1,704.16 : x
  2. Step 2: Convert to fraction form
    5,401.65/8,102.75 = 1,704.16/x
  3. Step 3: Cross multiply
    5,401.65x = 8,102.75 × 1,704.16
  4. Step 4: Simplify right side
    5,401.65x = 13,808,382.44
  5. Step 5: Solve for x
    x = 13,808,382.44/5,401.65
  6. Step 6: Final answer
    x = 2,556.33

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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.