Home / 1,723.38-2,582.73-1,106.76

Finding the Fourth Proportional to 1,723.38, 2,582.73 and 1,106.76

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Solution

The fourth proportional to 1,723.38, 2,582.73 and 1,106.76 is: 1,658.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.38 : 2,582.73 = 1,106.76 : x
  2. Step 2: Convert to fraction form
    1,723.38/2,582.73 = 1,106.76/x
  3. Step 3: Cross multiply
    1,723.38x = 2,582.73 × 1,106.76
  4. Step 4: Simplify right side
    1,723.38x = 2,858,462.25
  5. Step 5: Solve for x
    x = 2,858,462.25/1,723.38
  6. Step 6: Final answer
    x = 1,658.64

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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.