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Finding the Fourth Proportional to 1,723.69, 2,585.54 and 1,343.53

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Solution

The fourth proportional to 1,723.69, 2,585.54 and 1,343.53 is: 2,015.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.69 : 2,585.54 = 1,343.53 : x
  2. Step 2: Convert to fraction form
    1,723.69/2,585.54 = 1,343.53/x
  3. Step 3: Cross multiply
    1,723.69x = 2,585.54 × 1,343.53
  4. Step 4: Simplify right side
    1,723.69x = 3,473,750.56
  5. Step 5: Solve for x
    x = 3,473,750.56/1,723.69
  6. Step 6: Final answer
    x = 2,015.30

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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.