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Finding the Fourth Proportional to 11,663.52, 16,091.64 and 8,125.44

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Solution

The fourth proportional to 11,663.52, 16,091.64 and 8,125.44 is: 11,210.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.52 : 16,091.64 = 8,125.44 : x
  2. Step 2: Convert to fraction form
    11,663.52/16,091.64 = 8,125.44/x
  3. Step 3: Cross multiply
    11,663.52x = 16,091.64 × 8,125.44
  4. Step 4: Simplify right side
    11,663.52x = 130,751,655.32
  5. Step 5: Solve for x
    x = 130,751,655.32/11,663.52
  6. Step 6: Final answer
    x = 11,210.31

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1.5x scale

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.