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Finding the Fourth Proportional to 11,640.56, 17,457.64 and 7,942.08

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Solution

The fourth proportional to 11,640.56, 17,457.64 and 7,942.08 is: 11,910.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.56 : 17,457.64 = 7,942.08 : x
  2. Step 2: Convert to fraction form
    11,640.56/17,457.64 = 7,942.08/x
  3. Step 3: Cross multiply
    11,640.56x = 17,457.64 × 7,942.08
  4. Step 4: Simplify right side
    11,640.56x = 138,649,973.49
  5. Step 5: Solve for x
    x = 138,649,973.49/11,640.56
  6. Step 6: Final answer
    x = 11,910.94

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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.