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Finding the Fourth Proportional to 28,077, 42,122.46 and 8,355.51

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Solution

The fourth proportional to 28,077, 42,122.46 and 8,355.51 is: 12,535.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,077 : 42,122.46 = 8,355.51 : x
  2. Step 2: Convert to fraction form
    28,077/42,122.46 = 8,355.51/x
  3. Step 3: Cross multiply
    28,077x = 42,122.46 × 8,355.51
  4. Step 4: Simplify right side
    28,077x = 351,954,635.75
  5. Step 5: Solve for x
    x = 351,954,635.75/28,077
  6. Step 6: Final answer
    x = 12,535.34

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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.