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Finding the Fourth Proportional to 11,647.50, 16,054.81 and 7,869.48

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Solution

The fourth proportional to 11,647.50, 16,054.81 and 7,869.48 is: 10,847.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.50 : 16,054.81 = 7,869.48 : x
  2. Step 2: Convert to fraction form
    11,647.50/16,054.81 = 7,869.48/x
  3. Step 3: Cross multiply
    11,647.50x = 16,054.81 × 7,869.48
  4. Step 4: Simplify right side
    11,647.50x = 126,343,006.20
  5. Step 5: Solve for x
    x = 126,343,006.20/11,647.50
  6. Step 6: Final answer
    x = 10,847.22

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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.