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Finding the Fourth Proportional to 3,970.65, 5,478.87 and 2,291.88

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Solution

The fourth proportional to 3,970.65, 5,478.87 and 2,291.88 is: 3,162.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.65 : 5,478.87 = 2,291.88 : x
  2. Step 2: Convert to fraction form
    3,970.65/5,478.87 = 2,291.88/x
  3. Step 3: Cross multiply
    3,970.65x = 5,478.87 × 2,291.88
  4. Step 4: Simplify right side
    3,970.65x = 12,556,912.58
  5. Step 5: Solve for x
    x = 12,556,912.58/3,970.65
  6. Step 6: Final answer
    x = 3,162.43

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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.