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Finding the Fourth Proportional to 18,919.50, 26,109.72 and 10,536

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Solution

The fourth proportional to 18,919.50, 26,109.72 and 10,536 is: 14,540.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,919.50 : 26,109.72 = 10,536 : x
  2. Step 2: Convert to fraction form
    18,919.50/26,109.72 = 10,536/x
  3. Step 3: Cross multiply
    18,919.50x = 26,109.72 × 10,536
  4. Step 4: Simplify right side
    18,919.50x = 275,092,009.92
  5. Step 5: Solve for x
    x = 275,092,009.92/18,919.50
  6. Step 6: Final answer
    x = 14,540.13

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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.