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Finding the Fourth Proportional to 17,889, 26,829.81 and 10,387.86

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Solution

The fourth proportional to 17,889, 26,829.81 and 10,387.86 is: 15,579.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,889 : 26,829.81 = 10,387.86 : x
  2. Step 2: Convert to fraction form
    17,889/26,829.81 = 10,387.86/x
  3. Step 3: Cross multiply
    17,889x = 26,829.81 × 10,387.86
  4. Step 4: Simplify right side
    17,889x = 278,704,310.11
  5. Step 5: Solve for x
    x = 278,704,310.11/17,889
  6. Step 6: Final answer
    x = 15,579.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.