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Finding the Fourth Proportional to 8,774, 13,163.28 and 2,618

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Solution

The fourth proportional to 8,774, 13,163.28 and 2,618 is: 3,927.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,774 : 13,163.28 = 2,618 : x
  2. Step 2: Convert to fraction form
    8,774/13,163.28 = 2,618/x
  3. Step 3: Cross multiply
    8,774x = 13,163.28 × 2,618
  4. Step 4: Simplify right side
    8,774x = 34,461,467.04
  5. Step 5: Solve for x
    x = 34,461,467.04/8,774
  6. Step 6: Final answer
    x = 3,927.68

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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.