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Finding the Fourth Proportional to 3,917.46, 5,876.46 and 1,320.60

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Solution

The fourth proportional to 3,917.46, 5,876.46 and 1,320.60 is: 1,980.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.46 : 5,876.46 = 1,320.60 : x
  2. Step 2: Convert to fraction form
    3,917.46/5,876.46 = 1,320.60/x
  3. Step 3: Cross multiply
    3,917.46x = 5,876.46 × 1,320.60
  4. Step 4: Simplify right side
    3,917.46x = 7,760,453.08
  5. Step 5: Solve for x
    x = 7,760,453.08/3,917.46
  6. Step 6: Final answer
    x = 1,980.99

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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.