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Finding the Fourth Proportional to 3,047.83, 4,572.41 and 1,100.03

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Solution

The fourth proportional to 3,047.83, 4,572.41 and 1,100.03 is: 1,650.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.83 : 4,572.41 = 1,100.03 : x
  2. Step 2: Convert to fraction form
    3,047.83/4,572.41 = 1,100.03/x
  3. Step 3: Cross multiply
    3,047.83x = 4,572.41 × 1,100.03
  4. Step 4: Simplify right side
    3,047.83x = 5,029,759.81
  5. Step 5: Solve for x
    x = 5,029,759.81/3,047.83
  6. Step 6: Final answer
    x = 1,650.28

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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.