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Finding the Fourth Proportional to 20,255, 30,387.90 and 6,404

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Solution

The fourth proportional to 20,255, 30,387.90 and 6,404 is: 9,607.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,255 : 30,387.90 = 6,404 : x
  2. Step 2: Convert to fraction form
    20,255/30,387.90 = 6,404/x
  3. Step 3: Cross multiply
    20,255x = 30,387.90 × 6,404
  4. Step 4: Simplify right side
    20,255x = 194,604,111.60
  5. Step 5: Solve for x
    x = 194,604,111.60/20,255
  6. Step 6: Final answer
    x = 9,607.71

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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.