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Finding the Fourth Proportional to 1,857.59, 2,786.85 and 1,310.84

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Solution

The fourth proportional to 1,857.59, 2,786.85 and 1,310.84 is: 1,966.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.59 : 2,786.85 = 1,310.84 : x
  2. Step 2: Convert to fraction form
    1,857.59/2,786.85 = 1,310.84/x
  3. Step 3: Cross multiply
    1,857.59x = 2,786.85 × 1,310.84
  4. Step 4: Simplify right side
    1,857.59x = 3,653,114.45
  5. Step 5: Solve for x
    x = 3,653,114.45/1,857.59
  6. Step 6: Final answer
    x = 1,966.59

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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.