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Finding the Fourth Proportional to 2,664, 3,675.74 and 1,615.86

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Solution

The fourth proportional to 2,664, 3,675.74 and 1,615.86 is: 2,229.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664 : 3,675.74 = 1,615.86 : x
  2. Step 2: Convert to fraction form
    2,664/3,675.74 = 1,615.86/x
  3. Step 3: Cross multiply
    2,664x = 3,675.74 × 1,615.86
  4. Step 4: Simplify right side
    2,664x = 5,939,481.24
  5. Step 5: Solve for x
    x = 5,939,481.24/2,664
  6. Step 6: Final answer
    x = 2,229.53

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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.