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Finding the Fourth Proportional to 7,847.91, 10,826.21 and 4,659.75

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Solution

The fourth proportional to 7,847.91, 10,826.21 and 4,659.75 is: 6,428.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.91 : 10,826.21 = 4,659.75 : x
  2. Step 2: Convert to fraction form
    7,847.91/10,826.21 = 4,659.75/x
  3. Step 3: Cross multiply
    7,847.91x = 10,826.21 × 4,659.75
  4. Step 4: Simplify right side
    7,847.91x = 50,447,443.70
  5. Step 5: Solve for x
    x = 50,447,443.70/7,847.91
  6. Step 6: Final answer
    x = 6,428.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.