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Finding the Fourth Proportional to 7,874.92, 11,809.60 and 2,326.80

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Solution

The fourth proportional to 7,874.92, 11,809.60 and 2,326.80 is: 3,489.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.92 : 11,809.60 = 2,326.80 : x
  2. Step 2: Convert to fraction form
    7,874.92/11,809.60 = 2,326.80/x
  3. Step 3: Cross multiply
    7,874.92x = 11,809.60 × 2,326.80
  4. Step 4: Simplify right side
    7,874.92x = 27,478,577.28
  5. Step 5: Solve for x
    x = 27,478,577.28/7,874.92
  6. Step 6: Final answer
    x = 3,489.38

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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.