Home / 1,523.38-2,102.26-824.75

Finding the Fourth Proportional to 1,523.38, 2,102.26 and 824.75

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Solution

The fourth proportional to 1,523.38, 2,102.26 and 824.75 is: 1,138.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.38 : 2,102.26 = 824.75 : x
  2. Step 2: Convert to fraction form
    1,523.38/2,102.26 = 824.75/x
  3. Step 3: Cross multiply
    1,523.38x = 2,102.26 × 824.75
  4. Step 4: Simplify right side
    1,523.38x = 1,733,834.81
  5. Step 5: Solve for x
    x = 1,733,834.81/1,523.38
  6. Step 6: Final answer
    x = 1,138.15

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1.5x scale

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.