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Finding the Fourth Proportional to 43,450, 65,175 and 10,618

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Solution

The fourth proportional to 43,450, 65,175 and 10,618 is: 15,927

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,450 : 65,175 = 10,618 : x
  2. Step 2: Convert to fraction form
    43,450/65,175 = 10,618/x
  3. Step 3: Cross multiply
    43,450x = 65,175 × 10,618
  4. Step 4: Simplify right side
    43,450x = 692,028,150
  5. Step 5: Solve for x
    x = 692,028,150/43,450
  6. Step 6: Final answer
    x = 15,927

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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.