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Finding the Fourth Proportional to 7,891.64, 11,833.24 and 2,344.20

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Solution

The fourth proportional to 7,891.64, 11,833.24 and 2,344.20 is: 3,515.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.64 : 11,833.24 = 2,344.20 : x
  2. Step 2: Convert to fraction form
    7,891.64/11,833.24 = 2,344.20/x
  3. Step 3: Cross multiply
    7,891.64x = 11,833.24 × 2,344.20
  4. Step 4: Simplify right side
    7,891.64x = 27,739,481.21
  5. Step 5: Solve for x
    x = 27,739,481.21/7,891.64
  6. Step 6: Final answer
    x = 3,515.05

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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.