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Finding the Fourth Proportional to 20,443.77, 30,667.59 and 7,964.82

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Solution

The fourth proportional to 20,443.77, 30,667.59 and 7,964.82 is: 11,947.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,443.77 : 30,667.59 = 7,964.82 : x
  2. Step 2: Convert to fraction form
    20,443.77/30,667.59 = 7,964.82/x
  3. Step 3: Cross multiply
    20,443.77x = 30,667.59 × 7,964.82
  4. Step 4: Simplify right side
    20,443.77x = 244,261,834.18
  5. Step 5: Solve for x
    x = 244,261,834.18/20,443.77
  6. Step 6: Final answer
    x = 11,947.98

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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.