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Finding the Fourth Proportional to 28,257.75, 42,394.19 and 9,789.75

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Solution

The fourth proportional to 28,257.75, 42,394.19 and 9,789.75 is: 14,687.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,257.75 : 42,394.19 = 9,789.75 : x
  2. Step 2: Convert to fraction form
    28,257.75/42,394.19 = 9,789.75/x
  3. Step 3: Cross multiply
    28,257.75x = 42,394.19 × 9,789.75
  4. Step 4: Simplify right side
    28,257.75x = 415,028,472.60
  5. Step 5: Solve for x
    x = 415,028,472.60/28,257.75
  6. Step 6: Final answer
    x = 14,687.24

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1.5x scale

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.