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Finding the Fourth Proportional to 20,506.65, 30,738.09 and 14,645.49

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Solution

The fourth proportional to 20,506.65, 30,738.09 and 14,645.49 is: 21,952.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506.65 : 30,738.09 = 14,645.49 : x
  2. Step 2: Convert to fraction form
    20,506.65/30,738.09 = 14,645.49/x
  3. Step 3: Cross multiply
    20,506.65x = 30,738.09 × 14,645.49
  4. Step 4: Simplify right side
    20,506.65x = 450,174,389.71
  5. Step 5: Solve for x
    x = 450,174,389.71/20,506.65
  6. Step 6: Final answer
    x = 21,952.61

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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.