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Finding the Fourth Proportional to 7,940.64, 11,910.24 and 2,746.08

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Solution

The fourth proportional to 7,940.64, 11,910.24 and 2,746.08 is: 4,118.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.64 : 11,910.24 = 2,746.08 : x
  2. Step 2: Convert to fraction form
    7,940.64/11,910.24 = 2,746.08/x
  3. Step 3: Cross multiply
    7,940.64x = 11,910.24 × 2,746.08
  4. Step 4: Simplify right side
    7,940.64x = 32,706,471.86
  5. Step 5: Solve for x
    x = 32,706,471.86/7,940.64
  6. Step 6: Final answer
    x = 4,118.87

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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.