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Finding the Fourth Proportional to 30,868.88, 46,299.66 and 8,071.22

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Solution

The fourth proportional to 30,868.88, 46,299.66 and 8,071.22 is: 12,105.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,868.88 : 46,299.66 = 8,071.22 : x
  2. Step 2: Convert to fraction form
    30,868.88/46,299.66 = 8,071.22/x
  3. Step 3: Cross multiply
    30,868.88x = 46,299.66 × 8,071.22
  4. Step 4: Simplify right side
    30,868.88x = 373,694,741.79
  5. Step 5: Solve for x
    x = 373,694,741.79/30,868.88
  6. Step 6: Final answer
    x = 12,105.87

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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.