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Finding the Fourth Proportional to 20,234, 30,293.76 and 10,724.64

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Solution

The fourth proportional to 20,234, 30,293.76 and 10,724.64 is: 16,056.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,234 : 30,293.76 = 10,724.64 : x
  2. Step 2: Convert to fraction form
    20,234/30,293.76 = 10,724.64/x
  3. Step 3: Cross multiply
    20,234x = 30,293.76 × 10,724.64
  4. Step 4: Simplify right side
    20,234x = 324,889,670.25
  5. Step 5: Solve for x
    x = 324,889,670.25/20,234
  6. Step 6: Final answer
    x = 16,056.62

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1.5x scale

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.