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Finding the Fourth Proportional to 8,706.75, 13,042.83 and 4,310.79

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Solution

The fourth proportional to 8,706.75, 13,042.83 and 4,310.79 is: 6,457.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,706.75 : 13,042.83 = 4,310.79 : x
  2. Step 2: Convert to fraction form
    8,706.75/13,042.83 = 4,310.79/x
  3. Step 3: Cross multiply
    8,706.75x = 13,042.83 × 4,310.79
  4. Step 4: Simplify right side
    8,706.75x = 56,224,901.14
  5. Step 5: Solve for x
    x = 56,224,901.14/8,706.75
  6. Step 6: Final answer
    x = 6,457.62

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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.