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Finding the Fourth Proportional to 3,178.62, 4,736.84 and 3,074.13

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Solution

The fourth proportional to 3,178.62, 4,736.84 and 3,074.13 is: 4,581.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.62 : 4,736.84 = 3,074.13 : x
  2. Step 2: Convert to fraction form
    3,178.62/4,736.84 = 3,074.13/x
  3. Step 3: Cross multiply
    3,178.62x = 4,736.84 × 3,074.13
  4. Step 4: Simplify right side
    3,178.62x = 14,561,646.58
  5. Step 5: Solve for x
    x = 14,561,646.58/3,178.62
  6. Step 6: Final answer
    x = 4,581.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.