Home / 1,523.58-2,102.52-824.94

Finding the Fourth Proportional to 1,523.58, 2,102.52 and 824.94

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Solution

The fourth proportional to 1,523.58, 2,102.52 and 824.94 is: 1,138.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.58 : 2,102.52 = 824.94 : x
  2. Step 2: Convert to fraction form
    1,523.58/2,102.52 = 824.94/x
  3. Step 3: Cross multiply
    1,523.58x = 2,102.52 × 824.94
  4. Step 4: Simplify right side
    1,523.58x = 1,734,452.85
  5. Step 5: Solve for x
    x = 1,734,452.85/1,523.58
  6. Step 6: Final answer
    x = 1,138.41

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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.