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Finding the Fourth Proportional to 12,583.24, 18,859.74 and 8,879.92

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Solution

The fourth proportional to 12,583.24, 18,859.74 and 8,879.92 is: 13,309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,583.24 : 18,859.74 = 8,879.92 : x
  2. Step 2: Convert to fraction form
    12,583.24/18,859.74 = 8,879.92/x
  3. Step 3: Cross multiply
    12,583.24x = 18,859.74 × 8,879.92
  4. Step 4: Simplify right side
    12,583.24x = 167,472,982.42
  5. Step 5: Solve for x
    x = 167,472,982.42/12,583.24
  6. Step 6: Final answer
    x = 13,309.21

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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.