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Finding the Fourth Proportional to 1,909.94, 2,613.02 and 1,901.75

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Solution

The fourth proportional to 1,909.94, 2,613.02 and 1,901.75 is: 2,601.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.94 : 2,613.02 = 1,901.75 : x
  2. Step 2: Convert to fraction form
    1,909.94/2,613.02 = 1,901.75/x
  3. Step 3: Cross multiply
    1,909.94x = 2,613.02 × 1,901.75
  4. Step 4: Simplify right side
    1,909.94x = 4,969,288.21
  5. Step 5: Solve for x
    x = 4,969,288.21/1,909.94
  6. Step 6: Final answer
    x = 2,601.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.