Home / 1,523.36-2,102.24-824.74

Finding the Fourth Proportional to 1,523.36, 2,102.24 and 824.74

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Solution

The fourth proportional to 1,523.36, 2,102.24 and 824.74 is: 1,138.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.36 : 2,102.24 = 824.74 : x
  2. Step 2: Convert to fraction form
    1,523.36/2,102.24 = 824.74/x
  3. Step 3: Cross multiply
    1,523.36x = 2,102.24 × 824.74
  4. Step 4: Simplify right side
    1,523.36x = 1,733,786.78
  5. Step 5: Solve for x
    x = 1,733,786.78/1,523.36
  6. Step 6: Final answer
    x = 1,138.13

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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.