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Finding the Fourth Proportional to 6,742.82, 9,300.55 and 5,857.09

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Solution

The fourth proportional to 6,742.82, 9,300.55 and 5,857.09 is: 8,078.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.82 : 9,300.55 = 5,857.09 : x
  2. Step 2: Convert to fraction form
    6,742.82/9,300.55 = 5,857.09/x
  3. Step 3: Cross multiply
    6,742.82x = 9,300.55 × 5,857.09
  4. Step 4: Simplify right side
    6,742.82x = 54,474,158.40
  5. Step 5: Solve for x
    x = 54,474,158.40/6,742.82
  6. Step 6: Final answer
    x = 8,078.84

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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.