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Finding the Fourth Proportional to 14,121, 19,487.46 and 9,161.64

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Solution

The fourth proportional to 14,121, 19,487.46 and 9,161.64 is: 12,643.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,121 : 19,487.46 = 9,161.64 : x
  2. Step 2: Convert to fraction form
    14,121/19,487.46 = 9,161.64/x
  3. Step 3: Cross multiply
    14,121x = 19,487.46 × 9,161.64
  4. Step 4: Simplify right side
    14,121x = 178,537,093.03
  5. Step 5: Solve for x
    x = 178,537,093.03/14,121
  6. Step 6: Final answer
    x = 12,643.37

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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.