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Finding the Fourth Proportional to 20,862, 31,293 and 7,011

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Solution

The fourth proportional to 20,862, 31,293 and 7,011 is: 10,516.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,862 : 31,293 = 7,011 : x
  2. Step 2: Convert to fraction form
    20,862/31,293 = 7,011/x
  3. Step 3: Cross multiply
    20,862x = 31,293 × 7,011
  4. Step 4: Simplify right side
    20,862x = 219,395,223
  5. Step 5: Solve for x
    x = 219,395,223/20,862
  6. Step 6: Final answer
    x = 10,516.50

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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.