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Finding the Fourth Proportional to 2,386.82, 3,579.75 and 742.97

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Solution

The fourth proportional to 2,386.82, 3,579.75 and 742.97 is: 1,114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.82 : 3,579.75 = 742.97 : x
  2. Step 2: Convert to fraction form
    2,386.82/3,579.75 = 742.97/x
  3. Step 3: Cross multiply
    2,386.82x = 3,579.75 × 742.97
  4. Step 4: Simplify right side
    2,386.82x = 2,659,628.96
  5. Step 5: Solve for x
    x = 2,659,628.96/2,386.82
  6. Step 6: Final answer
    x = 1,114.30

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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.