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Finding the Fourth Proportional to 2,386.67, 3,579.86 and 742.98

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Solution

The fourth proportional to 2,386.67, 3,579.86 and 742.98 is: 1,114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.67 : 3,579.86 = 742.98 : x
  2. Step 2: Convert to fraction form
    2,386.67/3,579.86 = 742.98/x
  3. Step 3: Cross multiply
    2,386.67x = 3,579.86 × 742.98
  4. Step 4: Simplify right side
    2,386.67x = 2,659,760.67
  5. Step 5: Solve for x
    x = 2,659,760.67/2,386.67
  6. Step 6: Final answer
    x = 1,114.43

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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.