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Finding the Fourth Proportional to 31,889.36, 47,833.88 and 8,196.88

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Solution

The fourth proportional to 31,889.36, 47,833.88 and 8,196.88 is: 12,295.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,889.36 : 47,833.88 = 8,196.88 : x
  2. Step 2: Convert to fraction form
    31,889.36/47,833.88 = 8,196.88/x
  3. Step 3: Cross multiply
    31,889.36x = 47,833.88 × 8,196.88
  4. Step 4: Simplify right side
    31,889.36x = 392,088,574.29
  5. Step 5: Solve for x
    x = 392,088,574.29/31,889.36
  6. Step 6: Final answer
    x = 12,295.28

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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.