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Finding the Fourth Proportional to 7,858.20, 11,843.83 and 6,775.64

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Solution

The fourth proportional to 7,858.20, 11,843.83 and 6,775.64 is: 10,212.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.20 : 11,843.83 = 6,775.64 : x
  2. Step 2: Convert to fraction form
    7,858.20/11,843.83 = 6,775.64/x
  3. Step 3: Cross multiply
    7,858.20x = 11,843.83 × 6,775.64
  4. Step 4: Simplify right side
    7,858.20x = 80,249,528.30
  5. Step 5: Solve for x
    x = 80,249,528.30/7,858.20
  6. Step 6: Final answer
    x = 10,212.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.