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Finding the Fourth Proportional to 2,029.13, 3,043.69 and 490.13

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Solution

The fourth proportional to 2,029.13, 3,043.69 and 490.13 is: 735.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.13 : 3,043.69 = 490.13 : x
  2. Step 2: Convert to fraction form
    2,029.13/3,043.69 = 490.13/x
  3. Step 3: Cross multiply
    2,029.13x = 3,043.69 × 490.13
  4. Step 4: Simplify right side
    2,029.13x = 1,491,787.34
  5. Step 5: Solve for x
    x = 1,491,787.34/2,029.13
  6. Step 6: Final answer
    x = 735.19

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Double scale
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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.