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Finding the Fourth Proportional to 18,917.50, 26,106.96 and 10,534

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Solution

The fourth proportional to 18,917.50, 26,106.96 and 10,534 is: 14,537.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,917.50 : 26,106.96 = 10,534 : x
  2. Step 2: Convert to fraction form
    18,917.50/26,106.96 = 10,534/x
  3. Step 3: Cross multiply
    18,917.50x = 26,106.96 × 10,534
  4. Step 4: Simplify right side
    18,917.50x = 275,010,716.64
  5. Step 5: Solve for x
    x = 275,010,716.64/18,917.50
  6. Step 6: Final answer
    x = 14,537.37

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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.