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Finding the Fourth Proportional to 31,889.87, 47,832.86 and 11,895.50

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Solution

The fourth proportional to 31,889.87, 47,832.86 and 11,895.50 is: 17,842.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,889.87 : 47,832.86 = 11,895.50 : x
  2. Step 2: Convert to fraction form
    31,889.87/47,832.86 = 11,895.50/x
  3. Step 3: Cross multiply
    31,889.87x = 47,832.86 × 11,895.50
  4. Step 4: Simplify right side
    31,889.87x = 568,995,786.13
  5. Step 5: Solve for x
    x = 568,995,786.13/31,889.87
  6. Step 6: Final answer
    x = 17,842.52

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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.