Home / 1,523.15-2,101.94-824.52

Finding the Fourth Proportional to 1,523.15, 2,101.94 and 824.52

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Solution

The fourth proportional to 1,523.15, 2,101.94 and 824.52 is: 1,137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.15 : 2,101.94 = 824.52 : x
  2. Step 2: Convert to fraction form
    1,523.15/2,101.94 = 824.52/x
  3. Step 3: Cross multiply
    1,523.15x = 2,101.94 × 824.52
  4. Step 4: Simplify right side
    1,523.15x = 1,733,103.06
  5. Step 5: Solve for x
    x = 1,733,103.06/1,523.15
  6. Step 6: Final answer
    x = 1,137.84

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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.