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Finding the Fourth Proportional to 2,104, 3,155.61 and 717.31

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Solution

The fourth proportional to 2,104, 3,155.61 and 717.31 is: 1,075.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104 : 3,155.61 = 717.31 : x
  2. Step 2: Convert to fraction form
    2,104/3,155.61 = 717.31/x
  3. Step 3: Cross multiply
    2,104x = 3,155.61 × 717.31
  4. Step 4: Simplify right side
    2,104x = 2,263,550.61
  5. Step 5: Solve for x
    x = 2,263,550.61/2,104
  6. Step 6: Final answer
    x = 1,075.83

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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.