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Finding the Fourth Proportional to 7,784.10, 11,676.14 and 2,589.97

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Solution

The fourth proportional to 7,784.10, 11,676.14 and 2,589.97 is: 3,884.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.10 : 11,676.14 = 2,589.97 : x
  2. Step 2: Convert to fraction form
    7,784.10/11,676.14 = 2,589.97/x
  3. Step 3: Cross multiply
    7,784.10x = 11,676.14 × 2,589.97
  4. Step 4: Simplify right side
    7,784.10x = 30,240,852.32
  5. Step 5: Solve for x
    x = 30,240,852.32/7,784.10
  6. Step 6: Final answer
    x = 3,884.95

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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.