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Finding the Fourth Proportional to 6,216.84, 8,578.89 and 3,564

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Solution

The fourth proportional to 6,216.84, 8,578.89 and 3,564 is: 4,918.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,216.84 : 8,578.89 = 3,564 : x
  2. Step 2: Convert to fraction form
    6,216.84/8,578.89 = 3,564/x
  3. Step 3: Cross multiply
    6,216.84x = 8,578.89 × 3,564
  4. Step 4: Simplify right side
    6,216.84x = 30,575,163.96
  5. Step 5: Solve for x
    x = 30,575,163.96/6,216.84
  6. Step 6: Final answer
    x = 4,918.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.