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Finding the Fourth Proportional to 18,870, 26,041.41 and 10,486.50

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Solution

The fourth proportional to 18,870, 26,041.41 and 10,486.50 is: 14,471.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,870 : 26,041.41 = 10,486.50 : x
  2. Step 2: Convert to fraction form
    18,870/26,041.41 = 10,486.50/x
  3. Step 3: Cross multiply
    18,870x = 26,041.41 × 10,486.50
  4. Step 4: Simplify right side
    18,870x = 273,083,245.97
  5. Step 5: Solve for x
    x = 273,083,245.97/18,870
  6. Step 6: Final answer
    x = 14,471.82

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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.