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Finding the Fourth Proportional to 11,777.64, 16,255.44 and 7,798.92

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Solution

The fourth proportional to 11,777.64, 16,255.44 and 7,798.92 is: 10,764.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.64 : 16,255.44 = 7,798.92 : x
  2. Step 2: Convert to fraction form
    11,777.64/16,255.44 = 7,798.92/x
  3. Step 3: Cross multiply
    11,777.64x = 16,255.44 × 7,798.92
  4. Step 4: Simplify right side
    11,777.64x = 126,774,876.12
  5. Step 5: Solve for x
    x = 126,774,876.12/11,777.64
  6. Step 6: Final answer
    x = 10,764.03

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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.