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Finding the Fourth Proportional to 14,495.80, 21,661.01 and 12,163

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Solution

The fourth proportional to 14,495.80, 21,661.01 and 12,163 is: 18,175.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,495.80 : 21,661.01 = 12,163 : x
  2. Step 2: Convert to fraction form
    14,495.80/21,661.01 = 12,163/x
  3. Step 3: Cross multiply
    14,495.80x = 21,661.01 × 12,163
  4. Step 4: Simplify right side
    14,495.80x = 263,462,864.63
  5. Step 5: Solve for x
    x = 263,462,864.63/14,495.80
  6. Step 6: Final answer
    x = 18,175.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.