Home / 1,717.14-2,574.19-827.22

Finding the Fourth Proportional to 1,717.14, 2,574.19 and 827.22

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Solution

The fourth proportional to 1,717.14, 2,574.19 and 827.22 is: 1,240.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.14 : 2,574.19 = 827.22 : x
  2. Step 2: Convert to fraction form
    1,717.14/2,574.19 = 827.22/x
  3. Step 3: Cross multiply
    1,717.14x = 2,574.19 × 827.22
  4. Step 4: Simplify right side
    1,717.14x = 2,129,421.45
  5. Step 5: Solve for x
    x = 2,129,421.45/1,717.14
  6. Step 6: Final answer
    x = 1,240.10

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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.