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Finding the Fourth Proportional to 3,103.78, 4,653.86 and 1,023.22

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Solution

The fourth proportional to 3,103.78, 4,653.86 and 1,023.22 is: 1,534.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.78 : 4,653.86 = 1,023.22 : x
  2. Step 2: Convert to fraction form
    3,103.78/4,653.86 = 1,023.22/x
  3. Step 3: Cross multiply
    3,103.78x = 4,653.86 × 1,023.22
  4. Step 4: Simplify right side
    3,103.78x = 4,761,922.63
  5. Step 5: Solve for x
    x = 4,761,922.63/3,103.78
  6. Step 6: Final answer
    x = 1,534.23

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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.