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Finding the Fourth Proportional to 8,564.84, 12,847.82 and 2,641

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Solution

The fourth proportional to 8,564.84, 12,847.82 and 2,641 is: 3,961.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.84 : 12,847.82 = 2,641 : x
  2. Step 2: Convert to fraction form
    8,564.84/12,847.82 = 2,641/x
  3. Step 3: Cross multiply
    8,564.84x = 12,847.82 × 2,641
  4. Step 4: Simplify right side
    8,564.84x = 33,931,092.62
  5. Step 5: Solve for x
    x = 33,931,092.62/8,564.84
  6. Step 6: Final answer
    x = 3,961.67

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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.