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Finding the Fourth Proportional to 20,706, 31,060.62 and 6,855

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Solution

The fourth proportional to 20,706, 31,060.62 and 6,855 is: 10,283.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,706 : 31,060.62 = 6,855 : x
  2. Step 2: Convert to fraction form
    20,706/31,060.62 = 6,855/x
  3. Step 3: Cross multiply
    20,706x = 31,060.62 × 6,855
  4. Step 4: Simplify right side
    20,706x = 212,920,550.10
  5. Step 5: Solve for x
    x = 212,920,550.10/20,706
  6. Step 6: Final answer
    x = 10,283.04

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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.