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Finding the Fourth Proportional to 5,000, 7,500.37 and 1,922

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Solution

The fourth proportional to 5,000, 7,500.37 and 1,922 is: 2,883.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000 : 7,500.37 = 1,922 : x
  2. Step 2: Convert to fraction form
    5,000/7,500.37 = 1,922/x
  3. Step 3: Cross multiply
    5,000x = 7,500.37 × 1,922
  4. Step 4: Simplify right side
    5,000x = 14,415,711.14
  5. Step 5: Solve for x
    x = 14,415,711.14/5,000
  6. Step 6: Final answer
    x = 2,883.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.