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Finding the Fourth Proportional to 3,103.00, 4,654.50 and 1,347.78

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Solution

The fourth proportional to 3,103.00, 4,654.50 and 1,347.78 is: 2,021.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.00 : 4,654.50 = 1,347.78 : x
  2. Step 2: Convert to fraction form
    3,103.00/4,654.50 = 1,347.78/x
  3. Step 3: Cross multiply
    3,103.00x = 4,654.50 × 1,347.78
  4. Step 4: Simplify right side
    3,103.00x = 6,273,219.50
  5. Step 5: Solve for x
    x = 6,273,219.50/3,103.00
  6. Step 6: Final answer
    x = 2,021.66

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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.