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Finding the Fourth Proportional to 7,581.94, 11,351.31 and 6,838.90

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Solution

The fourth proportional to 7,581.94, 11,351.31 and 6,838.90 is: 10,238.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,581.94 : 11,351.31 = 6,838.90 : x
  2. Step 2: Convert to fraction form
    7,581.94/11,351.31 = 6,838.90/x
  3. Step 3: Cross multiply
    7,581.94x = 11,351.31 × 6,838.90
  4. Step 4: Simplify right side
    7,581.94x = 77,630,473.96
  5. Step 5: Solve for x
    x = 77,630,473.96/7,581.94
  6. Step 6: Final answer
    x = 10,238.87

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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.