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Finding the Fourth Proportional to 20,430, 30,645 and 6,579

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Solution

The fourth proportional to 20,430, 30,645 and 6,579 is: 9,868.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,430 : 30,645 = 6,579 : x
  2. Step 2: Convert to fraction form
    20,430/30,645 = 6,579/x
  3. Step 3: Cross multiply
    20,430x = 30,645 × 6,579
  4. Step 4: Simplify right side
    20,430x = 201,613,455
  5. Step 5: Solve for x
    x = 201,613,455/20,430
  6. Step 6: Final answer
    x = 9,868.50

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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.