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Finding the Fourth Proportional to 8,682.17, 13,024.64 and 3,136.89

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Solution

The fourth proportional to 8,682.17, 13,024.64 and 3,136.89 is: 4,705.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.17 : 13,024.64 = 3,136.89 : x
  2. Step 2: Convert to fraction form
    8,682.17/13,024.64 = 3,136.89/x
  3. Step 3: Cross multiply
    8,682.17x = 13,024.64 × 3,136.89
  4. Step 4: Simplify right side
    8,682.17x = 40,856,870.81
  5. Step 5: Solve for x
    x = 40,856,870.81/8,682.17
  6. Step 6: Final answer
    x = 4,705.83

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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.