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Finding the Fourth Proportional to 1,727.70, 2,383.80 and 1,019.56

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Solution

The fourth proportional to 1,727.70, 2,383.80 and 1,019.56 is: 1,406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.70 : 2,383.80 = 1,019.56 : x
  2. Step 2: Convert to fraction form
    1,727.70/2,383.80 = 1,019.56/x
  3. Step 3: Cross multiply
    1,727.70x = 2,383.80 × 1,019.56
  4. Step 4: Simplify right side
    1,727.70x = 2,430,437.12
  5. Step 5: Solve for x
    x = 2,430,437.12/1,727.70
  6. Step 6: Final answer
    x = 1,406.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.