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Finding the Fourth Proportional to 2,974.28, 4,461.44 and 783.23

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Solution

The fourth proportional to 2,974.28, 4,461.44 and 783.23 is: 1,174.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.28 : 4,461.44 = 783.23 : x
  2. Step 2: Convert to fraction form
    2,974.28/4,461.44 = 783.23/x
  3. Step 3: Cross multiply
    2,974.28x = 4,461.44 × 783.23
  4. Step 4: Simplify right side
    2,974.28x = 3,494,333.65
  5. Step 5: Solve for x
    x = 3,494,333.65/2,974.28
  6. Step 6: Final answer
    x = 1,174.85

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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.