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Finding the Fourth Proportional to 1,421.73, 2,131.62 and 727.83

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Solution

The fourth proportional to 1,421.73, 2,131.62 and 727.83 is: 1,091.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.73 : 2,131.62 = 727.83 : x
  2. Step 2: Convert to fraction form
    1,421.73/2,131.62 = 727.83/x
  3. Step 3: Cross multiply
    1,421.73x = 2,131.62 × 727.83
  4. Step 4: Simplify right side
    1,421.73x = 1,551,457.36
  5. Step 5: Solve for x
    x = 1,551,457.36/1,421.73
  6. Step 6: Final answer
    x = 1,091.25

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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.