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Finding the Fourth Proportional to 20,241, 30,361.50 and 6,390

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Solution

The fourth proportional to 20,241, 30,361.50 and 6,390 is: 9,585

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,241 : 30,361.50 = 6,390 : x
  2. Step 2: Convert to fraction form
    20,241/30,361.50 = 6,390/x
  3. Step 3: Cross multiply
    20,241x = 30,361.50 × 6,390
  4. Step 4: Simplify right side
    20,241x = 194,009,985
  5. Step 5: Solve for x
    x = 194,009,985/20,241
  6. Step 6: Final answer
    x = 9,585

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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.