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Finding the Fourth Proportional to 20,268, 30,402 and 6,417

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Solution

The fourth proportional to 20,268, 30,402 and 6,417 is: 9,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,268 : 30,402 = 6,417 : x
  2. Step 2: Convert to fraction form
    20,268/30,402 = 6,417/x
  3. Step 3: Cross multiply
    20,268x = 30,402 × 6,417
  4. Step 4: Simplify right side
    20,268x = 195,089,634
  5. Step 5: Solve for x
    x = 195,089,634/20,268
  6. Step 6: Final answer
    x = 9,625.50

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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.