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Finding the Fourth Proportional to 21,305.87, 31,958.79 and 6,514.78

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Solution

The fourth proportional to 21,305.87, 31,958.79 and 6,514.78 is: 9,772.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,305.87 : 31,958.79 = 6,514.78 : x
  2. Step 2: Convert to fraction form
    21,305.87/31,958.79 = 6,514.78/x
  3. Step 3: Cross multiply
    21,305.87x = 31,958.79 × 6,514.78
  4. Step 4: Simplify right side
    21,305.87x = 208,204,485.92
  5. Step 5: Solve for x
    x = 208,204,485.92/21,305.87
  6. Step 6: Final answer
    x = 9,772.17

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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.