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Finding the Fourth Proportional to 39,658, 59,496.90 and 11,956

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Solution

The fourth proportional to 39,658, 59,496.90 and 11,956 is: 17,936.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,658 : 59,496.90 = 11,956 : x
  2. Step 2: Convert to fraction form
    39,658/59,496.90 = 11,956/x
  3. Step 3: Cross multiply
    39,658x = 59,496.90 × 11,956
  4. Step 4: Simplify right side
    39,658x = 711,344,936.40
  5. Step 5: Solve for x
    x = 711,344,936.40/39,658
  6. Step 6: Final answer
    x = 17,936.98

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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.