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Finding the Fourth Proportional to 31,039, 42,834 and 16,891.96

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Solution

The fourth proportional to 31,039, 42,834 and 16,891.96 is: 23,311.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,039 : 42,834 = 16,891.96 : x
  2. Step 2: Convert to fraction form
    31,039/42,834 = 16,891.96/x
  3. Step 3: Cross multiply
    31,039x = 42,834 × 16,891.96
  4. Step 4: Simplify right side
    31,039x = 723,550,214.64
  5. Step 5: Solve for x
    x = 723,550,214.64/31,039
  6. Step 6: Final answer
    x = 23,311.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.