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Finding the Fourth Proportional to 3,645.77, 5,469.17 and 1,670.94

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Solution

The fourth proportional to 3,645.77, 5,469.17 and 1,670.94 is: 2,506.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.77 : 5,469.17 = 1,670.94 : x
  2. Step 2: Convert to fraction form
    3,645.77/5,469.17 = 1,670.94/x
  3. Step 3: Cross multiply
    3,645.77x = 5,469.17 × 1,670.94
  4. Step 4: Simplify right side
    3,645.77x = 9,138,646.57
  5. Step 5: Solve for x
    x = 9,138,646.57/3,645.77
  6. Step 6: Final answer
    x = 2,506.65

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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.