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Finding the Fourth Proportional to 8,584.74, 12,873.87 and 3,964.50

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Solution

The fourth proportional to 8,584.74, 12,873.87 and 3,964.50 is: 5,945.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.74 : 12,873.87 = 3,964.50 : x
  2. Step 2: Convert to fraction form
    8,584.74/12,873.87 = 3,964.50/x
  3. Step 3: Cross multiply
    8,584.74x = 12,873.87 × 3,964.50
  4. Step 4: Simplify right side
    8,584.74x = 51,038,457.62
  5. Step 5: Solve for x
    x = 51,038,457.62/8,584.74
  6. Step 6: Final answer
    x = 5,945.25

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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.