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Finding the Fourth Proportional to 11,756.88, 16,232.16 and 7,784.64

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Solution

The fourth proportional to 11,756.88, 16,232.16 and 7,784.64 is: 10,747.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.88 : 16,232.16 = 7,784.64 : x
  2. Step 2: Convert to fraction form
    11,756.88/16,232.16 = 7,784.64/x
  3. Step 3: Cross multiply
    11,756.88x = 16,232.16 × 7,784.64
  4. Step 4: Simplify right side
    11,756.88x = 126,361,522.02
  5. Step 5: Solve for x
    x = 126,361,522.02/11,756.88
  6. Step 6: Final answer
    x = 10,747.88

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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.