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Finding the Fourth Proportional to 10,838.25, 16,250.09 and 4,991.67

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Solution

The fourth proportional to 10,838.25, 16,250.09 and 4,991.67 is: 7,484.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.25 : 16,250.09 = 4,991.67 : x
  2. Step 2: Convert to fraction form
    10,838.25/16,250.09 = 4,991.67/x
  3. Step 3: Cross multiply
    10,838.25x = 16,250.09 × 4,991.67
  4. Step 4: Simplify right side
    10,838.25x = 81,115,061.79
  5. Step 5: Solve for x
    x = 81,115,061.79/10,838.25
  6. Step 6: Final answer
    x = 7,484.15

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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.