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Finding the Fourth Proportional to 20,151, 30,227.04 and 6,300

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Solution

The fourth proportional to 20,151, 30,227.04 and 6,300 is: 9,450.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,151 : 30,227.04 = 6,300 : x
  2. Step 2: Convert to fraction form
    20,151/30,227.04 = 6,300/x
  3. Step 3: Cross multiply
    20,151x = 30,227.04 × 6,300
  4. Step 4: Simplify right side
    20,151x = 190,430,352
  5. Step 5: Solve for x
    x = 190,430,352/20,151
  6. Step 6: Final answer
    x = 9,450.17

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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.