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Finding the Fourth Proportional to 28,318.50, 42,478.11 and 9,850.50

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Solution

The fourth proportional to 28,318.50, 42,478.11 and 9,850.50 is: 14,775.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,318.50 : 42,478.11 = 9,850.50 : x
  2. Step 2: Convert to fraction form
    28,318.50/42,478.11 = 9,850.50/x
  3. Step 3: Cross multiply
    28,318.50x = 42,478.11 × 9,850.50
  4. Step 4: Simplify right side
    28,318.50x = 418,430,622.56
  5. Step 5: Solve for x
    x = 418,430,622.56/28,318.50
  6. Step 6: Final answer
    x = 14,775.88

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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.