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Finding the Fourth Proportional to 11,611.32, 17,412.48 and 4,213.98

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Solution

The fourth proportional to 11,611.32, 17,412.48 and 4,213.98 is: 6,319.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.32 : 17,412.48 = 4,213.98 : x
  2. Step 2: Convert to fraction form
    11,611.32/17,412.48 = 4,213.98/x
  3. Step 3: Cross multiply
    11,611.32x = 17,412.48 × 4,213.98
  4. Step 4: Simplify right side
    11,611.32x = 73,375,842.47
  5. Step 5: Solve for x
    x = 73,375,842.47/11,611.32
  6. Step 6: Final answer
    x = 6,319.34

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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.