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Finding the Fourth Proportional to 28,007, 42,017.26 and 8,016.80

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Solution

The fourth proportional to 28,007, 42,017.26 and 8,016.80 is: 12,027.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,007 : 42,017.26 = 8,016.80 : x
  2. Step 2: Convert to fraction form
    28,007/42,017.26 = 8,016.80/x
  3. Step 3: Cross multiply
    28,007x = 42,017.26 × 8,016.80
  4. Step 4: Simplify right side
    28,007x = 336,843,969.97
  5. Step 5: Solve for x
    x = 336,843,969.97/28,007
  6. Step 6: Final answer
    x = 12,027.14

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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.