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Finding the Fourth Proportional to 6,357.84, 9,540.29 and 2,847.71

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Solution

The fourth proportional to 6,357.84, 9,540.29 and 2,847.71 is: 4,273.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.84 : 9,540.29 = 2,847.71 : x
  2. Step 2: Convert to fraction form
    6,357.84/9,540.29 = 2,847.71/x
  3. Step 3: Cross multiply
    6,357.84x = 9,540.29 × 2,847.71
  4. Step 4: Simplify right side
    6,357.84x = 27,167,979.24
  5. Step 5: Solve for x
    x = 27,167,979.24/6,357.84
  6. Step 6: Final answer
    x = 4,273.15

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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.