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Finding the Fourth Proportional to 1,802.98, 2,489.49 and 1,141.42

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Solution

The fourth proportional to 1,802.98, 2,489.49 and 1,141.42 is: 1,576.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.98 : 2,489.49 = 1,141.42 : x
  2. Step 2: Convert to fraction form
    1,802.98/2,489.49 = 1,141.42/x
  3. Step 3: Cross multiply
    1,802.98x = 2,489.49 × 1,141.42
  4. Step 4: Simplify right side
    1,802.98x = 2,841,553.68
  5. Step 5: Solve for x
    x = 2,841,553.68/1,802.98
  6. Step 6: Final answer
    x = 1,576.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.