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Finding the Fourth Proportional to 30,662.42, 42,318.05 and 18,723.24

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Solution

The fourth proportional to 30,662.42, 42,318.05 and 18,723.24 is: 25,840.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,662.42 : 42,318.05 = 18,723.24 : x
  2. Step 2: Convert to fraction form
    30,662.42/42,318.05 = 18,723.24/x
  3. Step 3: Cross multiply
    30,662.42x = 42,318.05 × 18,723.24
  4. Step 4: Simplify right side
    30,662.42x = 792,330,912.87
  5. Step 5: Solve for x
    x = 792,330,912.87/30,662.42
  6. Step 6: Final answer
    x = 25,840.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.