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Finding the Fourth Proportional to 20,390, 30,589.40 and 6,349.74

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Solution

The fourth proportional to 20,390, 30,589.40 and 6,349.74 is: 9,525.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,390 : 30,589.40 = 6,349.74 : x
  2. Step 2: Convert to fraction form
    20,390/30,589.40 = 6,349.74/x
  3. Step 3: Cross multiply
    20,390x = 30,589.40 × 6,349.74
  4. Step 4: Simplify right side
    20,390x = 194,234,736.76
  5. Step 5: Solve for x
    x = 194,234,736.76/20,390
  6. Step 6: Final answer
    x = 9,525.98

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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.