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Finding the Fourth Proportional to 1,785.37, 2,678.46 and 861.71

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Solution

The fourth proportional to 1,785.37, 2,678.46 and 861.71 is: 1,292.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.37 : 2,678.46 = 861.71 : x
  2. Step 2: Convert to fraction form
    1,785.37/2,678.46 = 861.71/x
  3. Step 3: Cross multiply
    1,785.37x = 2,678.46 × 861.71
  4. Step 4: Simplify right side
    1,785.37x = 2,308,040.22
  5. Step 5: Solve for x
    x = 2,308,040.22/1,785.37
  6. Step 6: Final answer
    x = 1,292.75

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1.5x scale

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.