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Finding the Fourth Proportional to 31,891.99, 47,821.41 and 9,399.72

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Solution

The fourth proportional to 31,891.99, 47,821.41 and 9,399.72 is: 14,094.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,891.99 : 47,821.41 = 9,399.72 : x
  2. Step 2: Convert to fraction form
    31,891.99/47,821.41 = 9,399.72/x
  3. Step 3: Cross multiply
    31,891.99x = 47,821.41 × 9,399.72
  4. Step 4: Simplify right side
    31,891.99x = 449,507,864.01
  5. Step 5: Solve for x
    x = 449,507,864.01/31,891.99
  6. Step 6: Final answer
    x = 14,094.69

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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.