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Finding the Fourth Proportional to 20,387, 30,584.89 and 6,346.73

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Solution

The fourth proportional to 20,387, 30,584.89 and 6,346.73 is: 9,521.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,387 : 30,584.89 = 6,346.73 : x
  2. Step 2: Convert to fraction form
    20,387/30,584.89 = 6,346.73/x
  3. Step 3: Cross multiply
    20,387x = 30,584.89 × 6,346.73
  4. Step 4: Simplify right side
    20,387x = 194,114,038.91
  5. Step 5: Solve for x
    x = 194,114,038.91/20,387
  6. Step 6: Final answer
    x = 9,521.46

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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.