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Finding the Fourth Proportional to 20,005, 27,406.75 and 19,257.40

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Solution

The fourth proportional to 20,005, 27,406.75 and 19,257.40 is: 26,382.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,005 : 27,406.75 = 19,257.40 : x
  2. Step 2: Convert to fraction form
    20,005/27,406.75 = 19,257.40/x
  3. Step 3: Cross multiply
    20,005x = 27,406.75 × 19,257.40
  4. Step 4: Simplify right side
    20,005x = 527,782,747.45
  5. Step 5: Solve for x
    x = 527,782,747.45/20,005
  6. Step 6: Final answer
    x = 26,382.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.