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Finding the Fourth Proportional to 2,068.77, 3,103.26 and 608.04

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Solution

The fourth proportional to 2,068.77, 3,103.26 and 608.04 is: 912.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.77 : 3,103.26 = 608.04 : x
  2. Step 2: Convert to fraction form
    2,068.77/3,103.26 = 608.04/x
  3. Step 3: Cross multiply
    2,068.77x = 3,103.26 × 608.04
  4. Step 4: Simplify right side
    2,068.77x = 1,886,906.21
  5. Step 5: Solve for x
    x = 1,886,906.21/2,068.77
  6. Step 6: Final answer
    x = 912.09

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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.