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Finding the Fourth Proportional to 3,135.46, 4,327.08 and 1,738.24

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Solution

The fourth proportional to 3,135.46, 4,327.08 and 1,738.24 is: 2,398.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.46 : 4,327.08 = 1,738.24 : x
  2. Step 2: Convert to fraction form
    3,135.46/4,327.08 = 1,738.24/x
  3. Step 3: Cross multiply
    3,135.46x = 4,327.08 × 1,738.24
  4. Step 4: Simplify right side
    3,135.46x = 7,521,503.54
  5. Step 5: Solve for x
    x = 7,521,503.54/3,135.46
  6. Step 6: Final answer
    x = 2,398.85

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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.