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Finding the Fourth Proportional to 5,485, 8,227.52 and 1,381

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Solution

The fourth proportional to 5,485, 8,227.52 and 1,381 is: 2,071.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,485 : 8,227.52 = 1,381 : x
  2. Step 2: Convert to fraction form
    5,485/8,227.52 = 1,381/x
  3. Step 3: Cross multiply
    5,485x = 8,227.52 × 1,381
  4. Step 4: Simplify right side
    5,485x = 11,362,205.12
  5. Step 5: Solve for x
    x = 11,362,205.12/5,485
  6. Step 6: Final answer
    x = 2,071.51

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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.