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Finding the Fourth Proportional to 31,896.99, 47,811.87 and 10,817.15

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Solution

The fourth proportional to 31,896.99, 47,811.87 and 10,817.15 is: 16,214.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,896.99 : 47,811.87 = 10,817.15 : x
  2. Step 2: Convert to fraction form
    31,896.99/47,811.87 = 10,817.15/x
  3. Step 3: Cross multiply
    31,896.99x = 47,811.87 × 10,817.15
  4. Step 4: Simplify right side
    31,896.99x = 517,187,930.51
  5. Step 5: Solve for x
    x = 517,187,930.51/31,896.99
  6. Step 6: Final answer
    x = 16,214.32

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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.