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Finding the Fourth Proportional to 7,878.22, 11,816.12 and 3,494.91

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Solution

The fourth proportional to 7,878.22, 11,816.12 and 3,494.91 is: 5,241.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.22 : 11,816.12 = 3,494.91 : x
  2. Step 2: Convert to fraction form
    7,878.22/11,816.12 = 3,494.91/x
  3. Step 3: Cross multiply
    7,878.22x = 11,816.12 × 3,494.91
  4. Step 4: Simplify right side
    7,878.22x = 41,296,199.39
  5. Step 5: Solve for x
    x = 41,296,199.39/7,878.22
  6. Step 6: Final answer
    x = 5,241.82

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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.