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Finding the Fourth Proportional to 18,766, 25,897.26 and 10,382.68

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Solution

The fourth proportional to 18,766, 25,897.26 and 10,382.68 is: 14,328.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,766 : 25,897.26 = 10,382.68 : x
  2. Step 2: Convert to fraction form
    18,766/25,897.26 = 10,382.68/x
  3. Step 3: Cross multiply
    18,766x = 25,897.26 × 10,382.68
  4. Step 4: Simplify right side
    18,766x = 268,882,963.46
  5. Step 5: Solve for x
    x = 268,882,963.46/18,766
  6. Step 6: Final answer
    x = 14,328.20

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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.