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Finding the Fourth Proportional to 1,347.74, 2,021.61 and 731.73

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Solution

The fourth proportional to 1,347.74, 2,021.61 and 731.73 is: 1,097.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.74 : 2,021.61 = 731.73 : x
  2. Step 2: Convert to fraction form
    1,347.74/2,021.61 = 731.73/x
  3. Step 3: Cross multiply
    1,347.74x = 2,021.61 × 731.73
  4. Step 4: Simplify right side
    1,347.74x = 1,479,272.69
  5. Step 5: Solve for x
    x = 1,479,272.69/1,347.74
  6. Step 6: Final answer
    x = 1,097.60

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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.