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Finding the Fourth Proportional to 7,847.28, 10,829.28 and 4,310.60

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Solution

The fourth proportional to 7,847.28, 10,829.28 and 4,310.60 is: 5,948.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.28 : 10,829.28 = 4,310.60 : x
  2. Step 2: Convert to fraction form
    7,847.28/10,829.28 = 4,310.60/x
  3. Step 3: Cross multiply
    7,847.28x = 10,829.28 × 4,310.60
  4. Step 4: Simplify right side
    7,847.28x = 46,680,694.37
  5. Step 5: Solve for x
    x = 46,680,694.37/7,847.28
  6. Step 6: Final answer
    x = 5,948.65

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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.