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Finding the Fourth Proportional to 18,706.72, 28,056.76 and 6,858

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Solution

The fourth proportional to 18,706.72, 28,056.76 and 6,858 is: 10,285.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,706.72 : 28,056.76 = 6,858 : x
  2. Step 2: Convert to fraction form
    18,706.72/28,056.76 = 6,858/x
  3. Step 3: Cross multiply
    18,706.72x = 28,056.76 × 6,858
  4. Step 4: Simplify right side
    18,706.72x = 192,413,260.08
  5. Step 5: Solve for x
    x = 192,413,260.08/18,706.72
  6. Step 6: Final answer
    x = 10,285.78

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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.