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Finding the Fourth Proportional to 1,285, 1,917.41 and 1,206.64

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Solution

The fourth proportional to 1,285, 1,917.41 and 1,206.64 is: 1,800.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285 : 1,917.41 = 1,206.64 : x
  2. Step 2: Convert to fraction form
    1,285/1,917.41 = 1,206.64/x
  3. Step 3: Cross multiply
    1,285x = 1,917.41 × 1,206.64
  4. Step 4: Simplify right side
    1,285x = 2,313,623.60
  5. Step 5: Solve for x
    x = 2,313,623.60/1,285
  6. Step 6: Final answer
    x = 1,800.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.