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Finding the Fourth Proportional to 2,386.17, 3,579.26 and 742.82

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Solution

The fourth proportional to 2,386.17, 3,579.26 and 742.82 is: 1,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.17 : 3,579.26 = 742.82 : x
  2. Step 2: Convert to fraction form
    2,386.17/3,579.26 = 742.82/x
  3. Step 3: Cross multiply
    2,386.17x = 3,579.26 × 742.82
  4. Step 4: Simplify right side
    2,386.17x = 2,658,724.30
  5. Step 5: Solve for x
    x = 2,658,724.30/2,386.17
  6. Step 6: Final answer
    x = 1,114.22

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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.