Home / 1,524.70-2,104.09-826.08

Finding the Fourth Proportional to 1,524.70, 2,104.09 and 826.08

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Solution

The fourth proportional to 1,524.70, 2,104.09 and 826.08 is: 1,139.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.70 : 2,104.09 = 826.08 : x
  2. Step 2: Convert to fraction form
    1,524.70/2,104.09 = 826.08/x
  3. Step 3: Cross multiply
    1,524.70x = 2,104.09 × 826.08
  4. Step 4: Simplify right side
    1,524.70x = 1,738,145.30
  5. Step 5: Solve for x
    x = 1,738,145.30/1,524.70
  6. Step 6: Final answer
    x = 1,139.99

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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.