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Finding the Fourth Proportional to 18,969.75, 28,454.58 and 6,489.90

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Solution

The fourth proportional to 18,969.75, 28,454.58 and 6,489.90 is: 9,734.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,969.75 : 28,454.58 = 6,489.90 : x
  2. Step 2: Convert to fraction form
    18,969.75/28,454.58 = 6,489.90/x
  3. Step 3: Cross multiply
    18,969.75x = 28,454.58 × 6,489.90
  4. Step 4: Simplify right side
    18,969.75x = 184,667,378.74
  5. Step 5: Solve for x
    x = 184,667,378.74/18,969.75
  6. Step 6: Final answer
    x = 9,734.83

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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.