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Finding the Fourth Proportional to 9,102.56, 13,657.12 and 3,180.32

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Solution

The fourth proportional to 9,102.56, 13,657.12 and 3,180.32 is: 4,771.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.56 : 13,657.12 = 3,180.32 : x
  2. Step 2: Convert to fraction form
    9,102.56/13,657.12 = 3,180.32/x
  3. Step 3: Cross multiply
    9,102.56x = 13,657.12 × 3,180.32
  4. Step 4: Simplify right side
    9,102.56x = 43,434,011.88
  5. Step 5: Solve for x
    x = 43,434,011.88/9,102.56
  6. Step 6: Final answer
    x = 4,771.63

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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.