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Finding the Fourth Proportional to 7,354.36, 11,086.64 and 6,865.56

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Solution

The fourth proportional to 7,354.36, 11,086.64 and 6,865.56 is: 10,349.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354.36 : 11,086.64 = 6,865.56 : x
  2. Step 2: Convert to fraction form
    7,354.36/11,086.64 = 6,865.56/x
  3. Step 3: Cross multiply
    7,354.36x = 11,086.64 × 6,865.56
  4. Step 4: Simplify right side
    7,354.36x = 76,115,992.12
  5. Step 5: Solve for x
    x = 76,115,992.12/7,354.36
  6. Step 6: Final answer
    x = 10,349.78

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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.