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Finding the Fourth Proportional to 6,442.56, 8,894.88 and 3,960

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Solution

The fourth proportional to 6,442.56, 8,894.88 and 3,960 is: 5,467.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.56 : 8,894.88 = 3,960 : x
  2. Step 2: Convert to fraction form
    6,442.56/8,894.88 = 3,960/x
  3. Step 3: Cross multiply
    6,442.56x = 8,894.88 × 3,960
  4. Step 4: Simplify right side
    6,442.56x = 35,223,724.80
  5. Step 5: Solve for x
    x = 35,223,724.80/6,442.56
  6. Step 6: Final answer
    x = 5,467.35

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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.