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Finding the Fourth Proportional to 1,343.68, 1,999.68 and 1,339.84

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Solution

The fourth proportional to 1,343.68, 1,999.68 and 1,339.84 is: 1,993.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.68 : 1,999.68 = 1,339.84 : x
  2. Step 2: Convert to fraction form
    1,343.68/1,999.68 = 1,339.84/x
  3. Step 3: Cross multiply
    1,343.68x = 1,999.68 × 1,339.84
  4. Step 4: Simplify right side
    1,343.68x = 2,679,251.25
  5. Step 5: Solve for x
    x = 2,679,251.25/1,343.68
  6. Step 6: Final answer
    x = 1,993.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.