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Finding the Fourth Proportional to 18,294, 25,236 and 12,315.48

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Solution

The fourth proportional to 18,294, 25,236 and 12,315.48 is: 16,988.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,294 : 25,236 = 12,315.48 : x
  2. Step 2: Convert to fraction form
    18,294/25,236 = 12,315.48/x
  3. Step 3: Cross multiply
    18,294x = 25,236 × 12,315.48
  4. Step 4: Simplify right side
    18,294x = 310,793,453.28
  5. Step 5: Solve for x
    x = 310,793,453.28/18,294
  6. Step 6: Final answer
    x = 16,988.82

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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.