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Finding the Fourth Proportional to 16,431, 24,643.44 and 5,337.80

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Solution

The fourth proportional to 16,431, 24,643.44 and 5,337.80 is: 8,005.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,431 : 24,643.44 = 5,337.80 : x
  2. Step 2: Convert to fraction form
    16,431/24,643.44 = 5,337.80/x
  3. Step 3: Cross multiply
    16,431x = 24,643.44 × 5,337.80
  4. Step 4: Simplify right side
    16,431x = 131,541,754.03
  5. Step 5: Solve for x
    x = 131,541,754.03/16,431
  6. Step 6: Final answer
    x = 8,005.71

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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.