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Finding the Fourth Proportional to 8,687.84, 13,028.31 and 3,138.18

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Solution

The fourth proportional to 8,687.84, 13,028.31 and 3,138.18 is: 4,706.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,687.84 : 13,028.31 = 3,138.18 : x
  2. Step 2: Convert to fraction form
    8,687.84/13,028.31 = 3,138.18/x
  3. Step 3: Cross multiply
    8,687.84x = 13,028.31 × 3,138.18
  4. Step 4: Simplify right side
    8,687.84x = 40,885,181.88
  5. Step 5: Solve for x
    x = 40,885,181.88/8,687.84
  6. Step 6: Final answer
    x = 4,706.03

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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.