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Finding the Fourth Proportional to 7,375, 11,062.52 and 1,903

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Solution

The fourth proportional to 7,375, 11,062.52 and 1,903 is: 2,854.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,375 : 11,062.52 = 1,903 : x
  2. Step 2: Convert to fraction form
    7,375/11,062.52 = 1,903/x
  3. Step 3: Cross multiply
    7,375x = 11,062.52 × 1,903
  4. Step 4: Simplify right side
    7,375x = 21,051,975.56
  5. Step 5: Solve for x
    x = 21,051,975.56/7,375
  6. Step 6: Final answer
    x = 2,854.51

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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.