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Finding the Fourth Proportional to 7,911.12, 11,808.71 and 6,976.96

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Solution

The fourth proportional to 7,911.12, 11,808.71 and 6,976.96 is: 10,414.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911.12 : 11,808.71 = 6,976.96 : x
  2. Step 2: Convert to fraction form
    7,911.12/11,808.71 = 6,976.96/x
  3. Step 3: Cross multiply
    7,911.12x = 11,808.71 × 6,976.96
  4. Step 4: Simplify right side
    7,911.12x = 82,388,897.32
  5. Step 5: Solve for x
    x = 82,388,897.32/7,911.12
  6. Step 6: Final answer
    x = 10,414.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.