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Finding the Fourth Proportional to 10,706.76, 16,039.36 and 7,890.48

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Solution

The fourth proportional to 10,706.76, 16,039.36 and 7,890.48 is: 11,820.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.76 : 16,039.36 = 7,890.48 : x
  2. Step 2: Convert to fraction form
    10,706.76/16,039.36 = 7,890.48/x
  3. Step 3: Cross multiply
    10,706.76x = 16,039.36 × 7,890.48
  4. Step 4: Simplify right side
    10,706.76x = 126,558,249.29
  5. Step 5: Solve for x
    x = 126,558,249.29/10,706.76
  6. Step 6: Final answer
    x = 11,820.41

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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.