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Finding the Fourth Proportional to 8,521.98, 11,745.54 and 8,029.90

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Solution

The fourth proportional to 8,521.98, 11,745.54 and 8,029.90 is: 11,067.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,521.98 : 11,745.54 = 8,029.90 : x
  2. Step 2: Convert to fraction form
    8,521.98/11,745.54 = 8,029.90/x
  3. Step 3: Cross multiply
    8,521.98x = 11,745.54 × 8,029.90
  4. Step 4: Simplify right side
    8,521.98x = 94,315,511.65
  5. Step 5: Solve for x
    x = 94,315,511.65/8,521.98
  6. Step 6: Final answer
    x = 11,067.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.