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Finding the Fourth Proportional to 3,974.86, 5,482.77 and 3,135.29

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Solution

The fourth proportional to 3,974.86, 5,482.77 and 3,135.29 is: 4,324.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.86 : 5,482.77 = 3,135.29 : x
  2. Step 2: Convert to fraction form
    3,974.86/5,482.77 = 3,135.29/x
  3. Step 3: Cross multiply
    3,974.86x = 5,482.77 × 3,135.29
  4. Step 4: Simplify right side
    3,974.86x = 17,190,073.95
  5. Step 5: Solve for x
    x = 17,190,073.95/3,974.86
  6. Step 6: Final answer
    x = 4,324.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.