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Finding the Fourth Proportional to 4,872, 7,311.36 and 1,794

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Solution

The fourth proportional to 4,872, 7,311.36 and 1,794 is: 2,692.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872 : 7,311.36 = 1,794 : x
  2. Step 2: Convert to fraction form
    4,872/7,311.36 = 1,794/x
  3. Step 3: Cross multiply
    4,872x = 7,311.36 × 1,794
  4. Step 4: Simplify right side
    4,872x = 13,116,579.84
  5. Step 5: Solve for x
    x = 13,116,579.84/4,872
  6. Step 6: Final answer
    x = 2,692.24

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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.