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Finding the Fourth Proportional to 3,178.40, 4,769.40 and 1,230.74

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Solution

The fourth proportional to 3,178.40, 4,769.40 and 1,230.74 is: 1,846.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.40 : 4,769.40 = 1,230.74 : x
  2. Step 2: Convert to fraction form
    3,178.40/4,769.40 = 1,230.74/x
  3. Step 3: Cross multiply
    3,178.40x = 4,769.40 × 1,230.74
  4. Step 4: Simplify right side
    3,178.40x = 5,869,891.36
  5. Step 5: Solve for x
    x = 5,869,891.36/3,178.40
  6. Step 6: Final answer
    x = 1,846.81

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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.