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Finding the Fourth Proportional to 2,416, 3,620.56 and 1,954.88

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Solution

The fourth proportional to 2,416, 3,620.56 and 1,954.88 is: 2,929.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416 : 3,620.56 = 1,954.88 : x
  2. Step 2: Convert to fraction form
    2,416/3,620.56 = 1,954.88/x
  3. Step 3: Cross multiply
    2,416x = 3,620.56 × 1,954.88
  4. Step 4: Simplify right side
    2,416x = 7,077,760.33
  5. Step 5: Solve for x
    x = 7,077,760.33/2,416
  6. Step 6: Final answer
    x = 2,929.54

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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.