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Finding the Fourth Proportional to 39,611, 59,429.73 and 12,958.20

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Solution

The fourth proportional to 39,611, 59,429.73 and 12,958.20 is: 19,441.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,611 : 59,429.73 = 12,958.20 : x
  2. Step 2: Convert to fraction form
    39,611/59,429.73 = 12,958.20/x
  3. Step 3: Cross multiply
    39,611x = 59,429.73 × 12,958.20
  4. Step 4: Simplify right side
    39,611x = 770,102,327.29
  5. Step 5: Solve for x
    x = 770,102,327.29/39,611
  6. Step 6: Final answer
    x = 19,441.63

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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.