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Finding the Fourth Proportional to 3,129.94, 4,692.69 and 1,568.83

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Solution

The fourth proportional to 3,129.94, 4,692.69 and 1,568.83 is: 2,352.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.94 : 4,692.69 = 1,568.83 : x
  2. Step 2: Convert to fraction form
    3,129.94/4,692.69 = 1,568.83/x
  3. Step 3: Cross multiply
    3,129.94x = 4,692.69 × 1,568.83
  4. Step 4: Simplify right side
    3,129.94x = 7,362,032.85
  5. Step 5: Solve for x
    x = 7,362,032.85/3,129.94
  6. Step 6: Final answer
    x = 2,352.13

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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.