Home / 11,820-16,311.42-6,514.68

Finding the Fourth Proportional to 11,820, 16,311.42 and 6,514.68

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Solution

The fourth proportional to 11,820, 16,311.42 and 6,514.68 is: 8,990.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820 : 16,311.42 = 6,514.68 : x
  2. Step 2: Convert to fraction form
    11,820/16,311.42 = 6,514.68/x
  3. Step 3: Cross multiply
    11,820x = 16,311.42 × 6,514.68
  4. Step 4: Simplify right side
    11,820x = 106,263,681.65
  5. Step 5: Solve for x
    x = 106,263,681.65/11,820
  6. Step 6: Final answer
    x = 8,990.16

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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.