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Finding the Fourth Proportional to 18,906.42, 28,357.48 and 5,056.50

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Solution

The fourth proportional to 18,906.42, 28,357.48 and 5,056.50 is: 7,584.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,906.42 : 28,357.48 = 5,056.50 : x
  2. Step 2: Convert to fraction form
    18,906.42/28,357.48 = 5,056.50/x
  3. Step 3: Cross multiply
    18,906.42x = 28,357.48 × 5,056.50
  4. Step 4: Simplify right side
    18,906.42x = 143,389,597.62
  5. Step 5: Solve for x
    x = 143,389,597.62/18,906.42
  6. Step 6: Final answer
    x = 7,584.17

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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.