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Finding the Fourth Proportional to 20,250, 27,947.70 and 11,866.50

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Solution

The fourth proportional to 20,250, 27,947.70 and 11,866.50 is: 16,377.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,250 : 27,947.70 = 11,866.50 : x
  2. Step 2: Convert to fraction form
    20,250/27,947.70 = 11,866.50/x
  3. Step 3: Cross multiply
    20,250x = 27,947.70 × 11,866.50
  4. Step 4: Simplify right side
    20,250x = 331,641,382.05
  5. Step 5: Solve for x
    x = 331,641,382.05/20,250
  6. Step 6: Final answer
    x = 16,377.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.