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Finding the Fourth Proportional to 1,839.64, 2,763.14 and 1,110.68

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Solution

The fourth proportional to 1,839.64, 2,763.14 and 1,110.68 is: 1,668.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839.64 : 2,763.14 = 1,110.68 : x
  2. Step 2: Convert to fraction form
    1,839.64/2,763.14 = 1,110.68/x
  3. Step 3: Cross multiply
    1,839.64x = 2,763.14 × 1,110.68
  4. Step 4: Simplify right side
    1,839.64x = 3,068,964.34
  5. Step 5: Solve for x
    x = 3,068,964.34/1,839.64
  6. Step 6: Final answer
    x = 1,668.24

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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.