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Finding the Fourth Proportional to 11,919.80, 17,868.06 and 5,678.12

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Solution

The fourth proportional to 11,919.80, 17,868.06 and 5,678.12 is: 8,511.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,919.80 : 17,868.06 = 5,678.12 : x
  2. Step 2: Convert to fraction form
    11,919.80/17,868.06 = 5,678.12/x
  3. Step 3: Cross multiply
    11,919.80x = 17,868.06 × 5,678.12
  4. Step 4: Simplify right side
    11,919.80x = 101,456,988.85
  5. Step 5: Solve for x
    x = 101,456,988.85/11,919.80
  6. Step 6: Final answer
    x = 8,511.64

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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.