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Finding the Fourth Proportional to 2,847, 3,929.24 and 1,605.24

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Solution

The fourth proportional to 2,847, 3,929.24 and 1,605.24 is: 2,215.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847 : 3,929.24 = 1,605.24 : x
  2. Step 2: Convert to fraction form
    2,847/3,929.24 = 1,605.24/x
  3. Step 3: Cross multiply
    2,847x = 3,929.24 × 1,605.24
  4. Step 4: Simplify right side
    2,847x = 6,307,373.22
  5. Step 5: Solve for x
    x = 6,307,373.22/2,847
  6. Step 6: Final answer
    x = 2,215.45

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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.