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Finding the Fourth Proportional to 1,857.10, 2,785.65 and 830.38

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Solution

The fourth proportional to 1,857.10, 2,785.65 and 830.38 is: 1,245.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.10 : 2,785.65 = 830.38 : x
  2. Step 2: Convert to fraction form
    1,857.10/2,785.65 = 830.38/x
  3. Step 3: Cross multiply
    1,857.10x = 2,785.65 × 830.38
  4. Step 4: Simplify right side
    1,857.10x = 2,313,129.97
  5. Step 5: Solve for x
    x = 2,313,129.97/1,857.10
  6. Step 6: Final answer
    x = 1,245.56

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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.