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Finding the Fourth Proportional to 11,777.46, 17,627.74 and 8,656.64

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Solution

The fourth proportional to 11,777.46, 17,627.74 and 8,656.64 is: 12,956.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.46 : 17,627.74 = 8,656.64 : x
  2. Step 2: Convert to fraction form
    11,777.46/17,627.74 = 8,656.64/x
  3. Step 3: Cross multiply
    11,777.46x = 17,627.74 × 8,656.64
  4. Step 4: Simplify right side
    11,777.46x = 152,597,021.62
  5. Step 5: Solve for x
    x = 152,597,021.62/11,777.46
  6. Step 6: Final answer
    x = 12,956.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.