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Finding the Fourth Proportional to 6,364.41, 8,782.85 and 3,880.41

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Solution

The fourth proportional to 6,364.41, 8,782.85 and 3,880.41 is: 5,354.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.41 : 8,782.85 = 3,880.41 : x
  2. Step 2: Convert to fraction form
    6,364.41/8,782.85 = 3,880.41/x
  3. Step 3: Cross multiply
    6,364.41x = 8,782.85 × 3,880.41
  4. Step 4: Simplify right side
    6,364.41x = 34,081,058.97
  5. Step 5: Solve for x
    x = 34,081,058.97/6,364.41
  6. Step 6: Final answer
    x = 5,354.94

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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.