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Finding the Fourth Proportional to 1,256.82, 1,899.48 and 1,235.26

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Solution

The fourth proportional to 1,256.82, 1,899.48 and 1,235.26 is: 1,866.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.82 : 1,899.48 = 1,235.26 : x
  2. Step 2: Convert to fraction form
    1,256.82/1,899.48 = 1,235.26/x
  3. Step 3: Cross multiply
    1,256.82x = 1,899.48 × 1,235.26
  4. Step 4: Simplify right side
    1,256.82x = 2,346,335.99
  5. Step 5: Solve for x
    x = 2,346,335.99/1,256.82
  6. Step 6: Final answer
    x = 1,866.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.