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Finding the Fourth Proportional to 1,742.85, 2,609.70 and 1,641.71

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Solution

The fourth proportional to 1,742.85, 2,609.70 and 1,641.71 is: 2,458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.85 : 2,609.70 = 1,641.71 : x
  2. Step 2: Convert to fraction form
    1,742.85/2,609.70 = 1,641.71/x
  3. Step 3: Cross multiply
    1,742.85x = 2,609.70 × 1,641.71
  4. Step 4: Simplify right side
    1,742.85x = 4,284,357.54
  5. Step 5: Solve for x
    x = 4,284,357.54/1,742.85
  6. Step 6: Final answer
    x = 2,458.25

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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.