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Finding the Fourth Proportional to 1,842.39, 2,763.93 and 609.81

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Solution

The fourth proportional to 1,842.39, 2,763.93 and 609.81 is: 914.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.39 : 2,763.93 = 609.81 : x
  2. Step 2: Convert to fraction form
    1,842.39/2,763.93 = 609.81/x
  3. Step 3: Cross multiply
    1,842.39x = 2,763.93 × 609.81
  4. Step 4: Simplify right side
    1,842.39x = 1,685,477.54
  5. Step 5: Solve for x
    x = 1,685,477.54/1,842.39
  6. Step 6: Final answer
    x = 914.83

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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.