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Finding the Fourth Proportional to 2,602.58, 3,894.60 and 2,085.90

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Solution

The fourth proportional to 2,602.58, 3,894.60 and 2,085.90 is: 3,121.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.58 : 3,894.60 = 2,085.90 : x
  2. Step 2: Convert to fraction form
    2,602.58/3,894.60 = 2,085.90/x
  3. Step 3: Cross multiply
    2,602.58x = 3,894.60 × 2,085.90
  4. Step 4: Simplify right side
    2,602.58x = 8,123,746.14
  5. Step 5: Solve for x
    x = 8,123,746.14/2,602.58
  6. Step 6: Final answer
    x = 3,121.42

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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.