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Finding the Fourth Proportional to 31,863.96, 47,795.94 and 13,154.58

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Solution

The fourth proportional to 31,863.96, 47,795.94 and 13,154.58 is: 19,731.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,863.96 : 47,795.94 = 13,154.58 : x
  2. Step 2: Convert to fraction form
    31,863.96/47,795.94 = 13,154.58/x
  3. Step 3: Cross multiply
    31,863.96x = 47,795.94 × 13,154.58
  4. Step 4: Simplify right side
    31,863.96x = 628,735,516.41
  5. Step 5: Solve for x
    x = 628,735,516.41/31,863.96
  6. Step 6: Final answer
    x = 19,731.87

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Similar ratio
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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.