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Finding the Fourth Proportional to 17,662, 26,505.15 and 7,273.75

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Solution

The fourth proportional to 17,662, 26,505.15 and 7,273.75 is: 10,915.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,662 : 26,505.15 = 7,273.75 : x
  2. Step 2: Convert to fraction form
    17,662/26,505.15 = 7,273.75/x
  3. Step 3: Cross multiply
    17,662x = 26,505.15 × 7,273.75
  4. Step 4: Simplify right side
    17,662x = 192,791,834.81
  5. Step 5: Solve for x
    x = 192,791,834.81/17,662
  6. Step 6: Final answer
    x = 10,915.63

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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.