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Finding the Fourth Proportional to 12,326.65, 18,491.99 and 6,782.60

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Solution

The fourth proportional to 12,326.65, 18,491.99 and 6,782.60 is: 10,175.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,326.65 : 18,491.99 = 6,782.60 : x
  2. Step 2: Convert to fraction form
    12,326.65/18,491.99 = 6,782.60/x
  3. Step 3: Cross multiply
    12,326.65x = 18,491.99 × 6,782.60
  4. Step 4: Simplify right side
    12,326.65x = 125,423,771.37
  5. Step 5: Solve for x
    x = 125,423,771.37/12,326.65
  6. Step 6: Final answer
    x = 10,175.01

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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.