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Finding the Fourth Proportional to 8,685.86, 11,986.49 and 4,706.94

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Solution

The fourth proportional to 8,685.86, 11,986.49 and 4,706.94 is: 6,495.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,685.86 : 11,986.49 = 4,706.94 : x
  2. Step 2: Convert to fraction form
    8,685.86/11,986.49 = 4,706.94/x
  3. Step 3: Cross multiply
    8,685.86x = 11,986.49 × 4,706.94
  4. Step 4: Simplify right side
    8,685.86x = 56,419,651.44
  5. Step 5: Solve for x
    x = 56,419,651.44/8,685.86
  6. Step 6: Final answer
    x = 6,495.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.