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Finding the Fourth Proportional to 11,616, 16,030.08 and 6,310.80

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Solution

The fourth proportional to 11,616, 16,030.08 and 6,310.80 is: 8,708.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616 : 16,030.08 = 6,310.80 : x
  2. Step 2: Convert to fraction form
    11,616/16,030.08 = 6,310.80/x
  3. Step 3: Cross multiply
    11,616x = 16,030.08 × 6,310.80
  4. Step 4: Simplify right side
    11,616x = 101,162,628.86
  5. Step 5: Solve for x
    x = 101,162,628.86/11,616
  6. Step 6: Final answer
    x = 8,708.90

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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.