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Finding the Fourth Proportional to 1,693.68, 2,538.81 and 814.89

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Solution

The fourth proportional to 1,693.68, 2,538.81 and 814.89 is: 1,221.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.68 : 2,538.81 = 814.89 : x
  2. Step 2: Convert to fraction form
    1,693.68/2,538.81 = 814.89/x
  3. Step 3: Cross multiply
    1,693.68x = 2,538.81 × 814.89
  4. Step 4: Simplify right side
    1,693.68x = 2,068,850.88
  5. Step 5: Solve for x
    x = 2,068,850.88/1,693.68
  6. Step 6: Final answer
    x = 1,221.51

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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.