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Finding the Fourth Proportional to 3,176.89, 4,384.94 and 1,917.95

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Solution

The fourth proportional to 3,176.89, 4,384.94 and 1,917.95 is: 2,647.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.89 : 4,384.94 = 1,917.95 : x
  2. Step 2: Convert to fraction form
    3,176.89/4,384.94 = 1,917.95/x
  3. Step 3: Cross multiply
    3,176.89x = 4,384.94 × 1,917.95
  4. Step 4: Simplify right side
    3,176.89x = 8,410,064.16
  5. Step 5: Solve for x
    x = 8,410,064.16/3,176.89
  6. Step 6: Final answer
    x = 2,647.27

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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.