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Finding the Fourth Proportional to 7,809, 11,714.76 and 2,616.12

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Solution

The fourth proportional to 7,809, 11,714.76 and 2,616.12 is: 3,924.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809 : 11,714.76 = 2,616.12 : x
  2. Step 2: Convert to fraction form
    7,809/11,714.76 = 2,616.12/x
  3. Step 3: Cross multiply
    7,809x = 11,714.76 × 2,616.12
  4. Step 4: Simplify right side
    7,809x = 30,647,217.93
  5. Step 5: Solve for x
    x = 30,647,217.93/7,809
  6. Step 6: Final answer
    x = 3,924.60

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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.