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Finding the Fourth Proportional to 2,604.58, 3,897.60 and 2,087.90

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Solution

The fourth proportional to 2,604.58, 3,897.60 and 2,087.90 is: 3,124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.58 : 3,897.60 = 2,087.90 : x
  2. Step 2: Convert to fraction form
    2,604.58/3,897.60 = 2,087.90/x
  3. Step 3: Cross multiply
    2,604.58x = 3,897.60 × 2,087.90
  4. Step 4: Simplify right side
    2,604.58x = 8,137,799.04
  5. Step 5: Solve for x
    x = 8,137,799.04/2,604.58
  6. Step 6: Final answer
    x = 3,124.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.