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Finding the Fourth Proportional to 19,163.68, 26,445.72 and 10,780

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Solution

The fourth proportional to 19,163.68, 26,445.72 and 10,780 is: 14,876.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,163.68 : 26,445.72 = 10,780 : x
  2. Step 2: Convert to fraction form
    19,163.68/26,445.72 = 10,780/x
  3. Step 3: Cross multiply
    19,163.68x = 26,445.72 × 10,780
  4. Step 4: Simplify right side
    19,163.68x = 285,084,861.60
  5. Step 5: Solve for x
    x = 285,084,861.60/19,163.68
  6. Step 6: Final answer
    x = 14,876.31

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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.