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Finding the Fourth Proportional to 1,783.74, 2,675.38 and 809.61

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Solution

The fourth proportional to 1,783.74, 2,675.38 and 809.61 is: 1,214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.74 : 2,675.38 = 809.61 : x
  2. Step 2: Convert to fraction form
    1,783.74/2,675.38 = 809.61/x
  3. Step 3: Cross multiply
    1,783.74x = 2,675.38 × 809.61
  4. Step 4: Simplify right side
    1,783.74x = 2,166,010.35
  5. Step 5: Solve for x
    x = 2,166,010.35/1,783.74
  6. Step 6: Final answer
    x = 1,214.31

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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.