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Finding the Fourth Proportional to 20,271, 30,406.50 and 6,420

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Solution

The fourth proportional to 20,271, 30,406.50 and 6,420 is: 9,630

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,271 : 30,406.50 = 6,420 : x
  2. Step 2: Convert to fraction form
    20,271/30,406.50 = 6,420/x
  3. Step 3: Cross multiply
    20,271x = 30,406.50 × 6,420
  4. Step 4: Simplify right side
    20,271x = 195,209,730
  5. Step 5: Solve for x
    x = 195,209,730/20,271
  6. Step 6: Final answer
    x = 9,630

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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.