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Finding the Fourth Proportional to 1,857.99, 2,566.80 and 1,221.44

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Solution

The fourth proportional to 1,857.99, 2,566.80 and 1,221.44 is: 1,687.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.99 : 2,566.80 = 1,221.44 : x
  2. Step 2: Convert to fraction form
    1,857.99/2,566.80 = 1,221.44/x
  3. Step 3: Cross multiply
    1,857.99x = 2,566.80 × 1,221.44
  4. Step 4: Simplify right side
    1,857.99x = 3,135,179.36
  5. Step 5: Solve for x
    x = 3,135,179.36/1,857.99
  6. Step 6: Final answer
    x = 1,687.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.