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Finding the Fourth Proportional to 1,965.01, 2,709.19 and 1,609.62

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Solution

The fourth proportional to 1,965.01, 2,709.19 and 1,609.62 is: 2,219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.01 : 2,709.19 = 1,609.62 : x
  2. Step 2: Convert to fraction form
    1,965.01/2,709.19 = 1,609.62/x
  3. Step 3: Cross multiply
    1,965.01x = 2,709.19 × 1,609.62
  4. Step 4: Simplify right side
    1,965.01x = 4,360,766.41
  5. Step 5: Solve for x
    x = 4,360,766.41/1,965.01
  6. Step 6: Final answer
    x = 2,219.21

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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.