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Finding the Fourth Proportional to 3,618, 5,427 and 1,309.50

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Solution

The fourth proportional to 3,618, 5,427 and 1,309.50 is: 1,964.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,618 : 5,427 = 1,309.50 : x
  2. Step 2: Convert to fraction form
    3,618/5,427 = 1,309.50/x
  3. Step 3: Cross multiply
    3,618x = 5,427 × 1,309.50
  4. Step 4: Simplify right side
    3,618x = 7,106,656.50
  5. Step 5: Solve for x
    x = 7,106,656.50/3,618
  6. Step 6: Final answer
    x = 1,964.25

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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.