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Finding the Fourth Proportional to 3,397, 4,687.86 and 2,155

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Solution

The fourth proportional to 3,397, 4,687.86 and 2,155 is: 2,973.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397 : 4,687.86 = 2,155 : x
  2. Step 2: Convert to fraction form
    3,397/4,687.86 = 2,155/x
  3. Step 3: Cross multiply
    3,397x = 4,687.86 × 2,155
  4. Step 4: Simplify right side
    3,397x = 10,102,338.30
  5. Step 5: Solve for x
    x = 10,102,338.30/3,397
  6. Step 6: Final answer
    x = 2,973.90

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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.