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Finding the Fourth Proportional to 5,812.64, 8,706.65 and 3,610.60

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Solution

The fourth proportional to 5,812.64, 8,706.65 and 3,610.60 is: 5,408.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.64 : 8,706.65 = 3,610.60 : x
  2. Step 2: Convert to fraction form
    5,812.64/8,706.65 = 3,610.60/x
  3. Step 3: Cross multiply
    5,812.64x = 8,706.65 × 3,610.60
  4. Step 4: Simplify right side
    5,812.64x = 31,436,240.54
  5. Step 5: Solve for x
    x = 31,436,240.54/5,812.64
  6. Step 6: Final answer
    x = 5,408.26

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Why These Related Problems?

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