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Finding the Fourth Proportional to 18,721.68, 25,835.76 and 10,338

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Solution

The fourth proportional to 18,721.68, 25,835.76 and 10,338 is: 14,266.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,721.68 : 25,835.76 = 10,338 : x
  2. Step 2: Convert to fraction form
    18,721.68/25,835.76 = 10,338/x
  3. Step 3: Cross multiply
    18,721.68x = 25,835.76 × 10,338
  4. Step 4: Simplify right side
    18,721.68x = 267,090,086.88
  5. Step 5: Solve for x
    x = 267,090,086.88/18,721.68
  6. Step 6: Final answer
    x = 14,266.35

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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.