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Finding the Fourth Proportional to 8,486.85, 12,706.47 and 6,400.29

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Solution

The fourth proportional to 8,486.85, 12,706.47 and 6,400.29 is: 9,582.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.85 : 12,706.47 = 6,400.29 : x
  2. Step 2: Convert to fraction form
    8,486.85/12,706.47 = 6,400.29/x
  3. Step 3: Cross multiply
    8,486.85x = 12,706.47 × 6,400.29
  4. Step 4: Simplify right side
    8,486.85x = 81,325,092.88
  5. Step 5: Solve for x
    x = 81,325,092.88/8,486.85
  6. Step 6: Final answer
    x = 9,582.48

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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.