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Finding the Fourth Proportional to 6,215.54, 8,578.31 and 3,564

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Solution

The fourth proportional to 6,215.54, 8,578.31 and 3,564 is: 4,918.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,215.54 : 8,578.31 = 3,564 : x
  2. Step 2: Convert to fraction form
    6,215.54/8,578.31 = 3,564/x
  3. Step 3: Cross multiply
    6,215.54x = 8,578.31 × 3,564
  4. Step 4: Simplify right side
    6,215.54x = 30,573,079.02
  5. Step 5: Solve for x
    x = 30,573,079.02/6,215.54
  6. Step 6: Final answer
    x = 4,918.82

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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.