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Finding the Fourth Proportional to 1,909.77, 2,636.31 and 1,202.23

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Solution

The fourth proportional to 1,909.77, 2,636.31 and 1,202.23 is: 1,659.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.77 : 2,636.31 = 1,202.23 : x
  2. Step 2: Convert to fraction form
    1,909.77/2,636.31 = 1,202.23/x
  3. Step 3: Cross multiply
    1,909.77x = 2,636.31 × 1,202.23
  4. Step 4: Simplify right side
    1,909.77x = 3,169,450.97
  5. Step 5: Solve for x
    x = 3,169,450.97/1,909.77
  6. Step 6: Final answer
    x = 1,659.60

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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.