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Finding the Fourth Proportional to 3,970, 5,478.60 and 2,201.88

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Solution

The fourth proportional to 3,970, 5,478.60 and 2,201.88 is: 3,038.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970 : 5,478.60 = 2,201.88 : x
  2. Step 2: Convert to fraction form
    3,970/5,478.60 = 2,201.88/x
  3. Step 3: Cross multiply
    3,970x = 5,478.60 × 2,201.88
  4. Step 4: Simplify right side
    3,970x = 12,063,219.77
  5. Step 5: Solve for x
    x = 12,063,219.77/3,970
  6. Step 6: Final answer
    x = 3,038.59

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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.