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Finding the Fourth Proportional to 3,647.67, 5,472.05 and 1,182.75

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Solution

The fourth proportional to 3,647.67, 5,472.05 and 1,182.75 is: 1,774.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.67 : 5,472.05 = 1,182.75 : x
  2. Step 2: Convert to fraction form
    3,647.67/5,472.05 = 1,182.75/x
  3. Step 3: Cross multiply
    3,647.67x = 5,472.05 × 1,182.75
  4. Step 4: Simplify right side
    3,647.67x = 6,472,067.14
  5. Step 5: Solve for x
    x = 6,472,067.14/3,647.67
  6. Step 6: Final answer
    x = 1,774.30

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1.5x scale

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.