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Finding the Fourth Proportional to 18,782.16, 25,918.20 and 10,398

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Solution

The fourth proportional to 18,782.16, 25,918.20 and 10,398 is: 14,348.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,782.16 : 25,918.20 = 10,398 : x
  2. Step 2: Convert to fraction form
    18,782.16/25,918.20 = 10,398/x
  3. Step 3: Cross multiply
    18,782.16x = 25,918.20 × 10,398
  4. Step 4: Simplify right side
    18,782.16x = 269,497,443.60
  5. Step 5: Solve for x
    x = 269,497,443.60/18,782.16
  6. Step 6: Final answer
    x = 14,348.59

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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.