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Finding the Fourth Proportional to 3,662.50, 5,493.75 and 1,354

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Solution

The fourth proportional to 3,662.50, 5,493.75 and 1,354 is: 2,031

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.50 : 5,493.75 = 1,354 : x
  2. Step 2: Convert to fraction form
    3,662.50/5,493.75 = 1,354/x
  3. Step 3: Cross multiply
    3,662.50x = 5,493.75 × 1,354
  4. Step 4: Simplify right side
    3,662.50x = 7,438,537.50
  5. Step 5: Solve for x
    x = 7,438,537.50/3,662.50
  6. Step 6: Final answer
    x = 2,031

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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.