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Finding the Fourth Proportional to 8,519.88, 12,782.42 and 4,362.83

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Solution

The fourth proportional to 8,519.88, 12,782.42 and 4,362.83 is: 6,545.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.88 : 12,782.42 = 4,362.83 : x
  2. Step 2: Convert to fraction form
    8,519.88/12,782.42 = 4,362.83/x
  3. Step 3: Cross multiply
    8,519.88x = 12,782.42 × 4,362.83
  4. Step 4: Simplify right side
    8,519.88x = 55,767,450.63
  5. Step 5: Solve for x
    x = 55,767,450.63/8,519.88
  6. Step 6: Final answer
    x = 6,545.57

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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.