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Finding the Fourth Proportional to 31,936.95, 47,903.81 and 12,213.99

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Solution

The fourth proportional to 31,936.95, 47,903.81 and 12,213.99 is: 18,320.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,936.95 : 47,903.81 = 12,213.99 : x
  2. Step 2: Convert to fraction form
    31,936.95/47,903.81 = 12,213.99/x
  3. Step 3: Cross multiply
    31,936.95x = 47,903.81 × 12,213.99
  4. Step 4: Simplify right side
    31,936.95x = 585,096,595.23
  5. Step 5: Solve for x
    x = 585,096,595.23/31,936.95
  6. Step 6: Final answer
    x = 18,320.37

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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.