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Finding the Fourth Proportional to 1,891.14, 2,609.60 and 1,751.82

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Solution

The fourth proportional to 1,891.14, 2,609.60 and 1,751.82 is: 2,417.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.14 : 2,609.60 = 1,751.82 : x
  2. Step 2: Convert to fraction form
    1,891.14/2,609.60 = 1,751.82/x
  3. Step 3: Cross multiply
    1,891.14x = 2,609.60 × 1,751.82
  4. Step 4: Simplify right side
    1,891.14x = 4,571,540.71
  5. Step 5: Solve for x
    x = 4,571,540.71/1,891.14
  6. Step 6: Final answer
    x = 2,417.35

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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.