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Finding the Fourth Proportional to 7,141.92, 10,712.78 and 6,965.44

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Solution

The fourth proportional to 7,141.92, 10,712.78 and 6,965.44 is: 10,448.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.92 : 10,712.78 = 6,965.44 : x
  2. Step 2: Convert to fraction form
    7,141.92/10,712.78 = 6,965.44/x
  3. Step 3: Cross multiply
    7,141.92x = 10,712.78 × 6,965.44
  4. Step 4: Simplify right side
    7,141.92x = 74,619,226.32
  5. Step 5: Solve for x
    x = 74,619,226.32/7,141.92
  6. Step 6: Final answer
    x = 10,448.06

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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.