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Finding the Fourth Proportional to 3,970.44, 5,479.32 and 2,178

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Solution

The fourth proportional to 3,970.44, 5,479.32 and 2,178 is: 3,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.44 : 5,479.32 = 2,178 : x
  2. Step 2: Convert to fraction form
    3,970.44/5,479.32 = 2,178/x
  3. Step 3: Cross multiply
    3,970.44x = 5,479.32 × 2,178
  4. Step 4: Simplify right side
    3,970.44x = 11,933,958.96
  5. Step 5: Solve for x
    x = 11,933,958.96/3,970.44
  6. Step 6: Final answer
    x = 3,005.70

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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.