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Finding the Fourth Proportional to 4,892, 7,338.06 and 1,814

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Solution

The fourth proportional to 4,892, 7,338.06 and 1,814 is: 2,721.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892 : 7,338.06 = 1,814 : x
  2. Step 2: Convert to fraction form
    4,892/7,338.06 = 1,814/x
  3. Step 3: Cross multiply
    4,892x = 7,338.06 × 1,814
  4. Step 4: Simplify right side
    4,892x = 13,311,240.84
  5. Step 5: Solve for x
    x = 13,311,240.84/4,892
  6. Step 6: Final answer
    x = 2,721.02

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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.