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Finding the Fourth Proportional to 2,982.60, 4,472.10 and 1,338.84

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Solution

The fourth proportional to 2,982.60, 4,472.10 and 1,338.84 is: 2,007.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.60 : 4,472.10 = 1,338.84 : x
  2. Step 2: Convert to fraction form
    2,982.60/4,472.10 = 1,338.84/x
  3. Step 3: Cross multiply
    2,982.60x = 4,472.10 × 1,338.84
  4. Step 4: Simplify right side
    2,982.60x = 5,987,426.36
  5. Step 5: Solve for x
    x = 5,987,426.36/2,982.60
  6. Step 6: Final answer
    x = 2,007.45

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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.