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Finding the Fourth Proportional to 18,889.68, 26,067.78 and 10,506

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Solution

The fourth proportional to 18,889.68, 26,067.78 and 10,506 is: 14,498.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,889.68 : 26,067.78 = 10,506 : x
  2. Step 2: Convert to fraction form
    18,889.68/26,067.78 = 10,506/x
  3. Step 3: Cross multiply
    18,889.68x = 26,067.78 × 10,506
  4. Step 4: Simplify right side
    18,889.68x = 273,868,096.68
  5. Step 5: Solve for x
    x = 273,868,096.68/18,889.68
  6. Step 6: Final answer
    x = 14,498.29

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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.