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Finding the Fourth Proportional to 3,578.72, 4,971.70 and 3,546.68

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Solution

The fourth proportional to 3,578.72, 4,971.70 and 3,546.68 is: 4,927.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.72 : 4,971.70 = 3,546.68 : x
  2. Step 2: Convert to fraction form
    3,578.72/4,971.70 = 3,546.68/x
  3. Step 3: Cross multiply
    3,578.72x = 4,971.70 × 3,546.68
  4. Step 4: Simplify right side
    3,578.72x = 17,633,028.96
  5. Step 5: Solve for x
    x = 17,633,028.96/3,578.72
  6. Step 6: Final answer
    x = 4,927.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.