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Finding the Fourth Proportional to 3,609.74, 4,965.82 and 2,945.14

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Solution

The fourth proportional to 3,609.74, 4,965.82 and 2,945.14 is: 4,051.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.74 : 4,965.82 = 2,945.14 : x
  2. Step 2: Convert to fraction form
    3,609.74/4,965.82 = 2,945.14/x
  3. Step 3: Cross multiply
    3,609.74x = 4,965.82 × 2,945.14
  4. Step 4: Simplify right side
    3,609.74x = 14,625,035.11
  5. Step 5: Solve for x
    x = 14,625,035.11/3,609.74
  6. Step 6: Final answer
    x = 4,051.55

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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.