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Finding the Fourth Proportional to 1,873.21, 2,809.82 and 762.65

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Solution

The fourth proportional to 1,873.21, 2,809.82 and 762.65 is: 1,143.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.21 : 2,809.82 = 762.65 : x
  2. Step 2: Convert to fraction form
    1,873.21/2,809.82 = 762.65/x
  3. Step 3: Cross multiply
    1,873.21x = 2,809.82 × 762.65
  4. Step 4: Simplify right side
    1,873.21x = 2,142,897.08
  5. Step 5: Solve for x
    x = 2,142,897.08/1,873.21
  6. Step 6: Final answer
    x = 1,143.97

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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.