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Finding the Fourth Proportional to 3,012.70, 4,519.02 and 821.40

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Solution

The fourth proportional to 3,012.70, 4,519.02 and 821.40 is: 1,232.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.70 : 4,519.02 = 821.40 : x
  2. Step 2: Convert to fraction form
    3,012.70/4,519.02 = 821.40/x
  3. Step 3: Cross multiply
    3,012.70x = 4,519.02 × 821.40
  4. Step 4: Simplify right side
    3,012.70x = 3,711,923.03
  5. Step 5: Solve for x
    x = 3,711,923.03/3,012.70
  6. Step 6: Final answer
    x = 1,232.09

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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.