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Finding the Fourth Proportional to 20,200.80, 30,306 and 6,349.80

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Solution

The fourth proportional to 20,200.80, 30,306 and 6,349.80 is: 9,526.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200.80 : 30,306 = 6,349.80 : x
  2. Step 2: Convert to fraction form
    20,200.80/30,306 = 6,349.80/x
  3. Step 3: Cross multiply
    20,200.80x = 30,306 × 6,349.80
  4. Step 4: Simplify right side
    20,200.80x = 192,437,038.80
  5. Step 5: Solve for x
    x = 192,437,038.80/20,200.80
  6. Step 6: Final answer
    x = 9,526.21

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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.