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Finding the Fourth Proportional to 18,130.64, 25,020.42 and 11,843

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Solution

The fourth proportional to 18,130.64, 25,020.42 and 11,843 is: 16,343.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,130.64 : 25,020.42 = 11,843 : x
  2. Step 2: Convert to fraction form
    18,130.64/25,020.42 = 11,843/x
  3. Step 3: Cross multiply
    18,130.64x = 25,020.42 × 11,843
  4. Step 4: Simplify right side
    18,130.64x = 296,316,834.06
  5. Step 5: Solve for x
    x = 296,316,834.06/18,130.64
  6. Step 6: Final answer
    x = 16,343.43

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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.