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Finding the Fourth Proportional to 8,553.96, 12,820.32 and 3,618

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Solution

The fourth proportional to 8,553.96, 12,820.32 and 3,618 is: 5,422.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,553.96 : 12,820.32 = 3,618 : x
  2. Step 2: Convert to fraction form
    8,553.96/12,820.32 = 3,618/x
  3. Step 3: Cross multiply
    8,553.96x = 12,820.32 × 3,618
  4. Step 4: Simplify right side
    8,553.96x = 46,383,917.76
  5. Step 5: Solve for x
    x = 46,383,917.76/8,553.96
  6. Step 6: Final answer
    x = 5,422.51

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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.